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32212030011120 = 24335149100087093
BaseRepresentation
bin1110101001011111100101…
…00110110011011011110000
311020001102212202102011211000
413110233302212303123300
513210230214140323440
6152302000255122000
76533146063301061
oct724576246633360
9136042782364730
1032212030011120
11a29a0551a2493
123742aa7813300
1314c877343435b
147d50db90c568
153acd97428730
hex1d4bf29b36f0

32212030011120 has 160 divisors (see below), whose sum is σ = 111697196904000. Its totient is φ = 8532224418816.

The previous prime is 32212030011113. The next prime is 32212030011121. The reversal of 32212030011120 is 2111003021223.

32212030011120 is a `hidden beast` number, since 3 + 221 + 20 + 300 + 1 + 1 + 120 = 666.

32212030011120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×322120300111202 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32212030011093 and 32212030011102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32212030011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49721707 + ... + 50365386.

It is an arithmetic number, because the mean of its divisors is an integer number (698107480650).

Almost surely, 232212030011120 is an apocalyptic number.

32212030011120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32212030011120 is an abundant number, since it is smaller than the sum of its proper divisors (79485166892880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

32212030011120 is a wasteful number, since it uses less digits than its factorization.

32212030011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100087264 (or 100087252 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 32212030011120 its reverse (2111003021223), we get a palindrome (34323033032343).

The spelling of 32212030011120 in words is "thirty-two trillion, two hundred twelve billion, thirty million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 149 180 216 240 270 298 360 432 447 540 596 720 745 894 1080 1192 1341 1490 1788 2160 2235 2384 2682 2980 3576 4023 4470 5364 5960 6705 7152 8046 8940 10728 11920 13410 16092 17880 20115 21456 26820 32184 35760 40230 53640 64368 80460 107280 160920 321840 100087093 200174186 300261279 400348372 500435465 600522558 800696744 900783837 1000870930 1201045116 1501306395 1601393488 1801567674 2001741860 2402090232 2702351511 3002612790 3603135348 4003483720 4503919185 4804180464 5404703022 6005225580 7206270696 8006967440 9007838370 10809406044 12010451160 13511757555 14412541392 14912976857 18015676740 21618812088 24020902320 27023515110 29825953714 36031353480 43237624176 44738930571 54047030220 59651907428 72062706960 74564884285 89477861142 108094060440 119303814856 134216791713 149129768570 178955722284 216188120880 223694652855 238607629712 268433583426 298259537140 357911444568 402650375139 447389305710 536867166852 596519074280 671083958565 715822889136 805300750278 894778611420 1073734333704 1193038148560 1342167917130 1610601500556 1789557222840 2013251875695 2147468667408 2684335834260 3221203001112 3579114445680 4026503751390 5368671668520 6442406002224 8053007502780 10737343337040 16106015005560 32212030011120