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200212010111120 = 245717127165595853
BaseRepresentation
bin101101100001011101111101…
…101111100001000010010000
3222020220002012020001121021012
4231201131331233201002100
5202220233144042023440
61545452043325550052
760112561152446660
oct5541357557410220
9866802166047235
10200212010111120
1158880489211817
121a556519115328
138793bb0872b87
143762454bd61a0
151822e91acee65
hexb6177dbe1090

200212010111120 has 160 divisors (see below), whose sum is σ = 567720877252608. Its totient is φ = 64097517625344.

The previous prime is 200212010111119. The next prime is 200212010111123. The reversal of 200212010111120 is 21111010212002.

200212010111120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2002120101111202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 200212010111095 and 200212010111104.

It is not an unprimeable number, because it can be changed into a prime (200212010111123) 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, 81588887 + ... + 84006966.

Almost surely, 2200212010111120 is an apocalyptic number.

200212010111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200212010111120 is an abundant number, since it is smaller than the sum of its proper divisors (367508867141488).

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

200212010111120 is a wasteful number, since it uses less digits than its factorization.

200212010111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165596017 (or 165596011 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 200212010111120 its reverse (21111010212002), we get a palindrome (221323020323122).

The spelling of 200212010111120 in words is "two hundred trillion, two hundred twelve billion, ten million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 127 136 140 170 238 254 272 280 340 476 508 560 595 635 680 889 952 1016 1190 1270 1360 1778 1904 2032 2159 2380 2540 3556 4318 4445 4760 5080 7112 8636 8890 9520 10160 10795 14224 15113 17272 17780 21590 30226 34544 35560 43180 60452 71120 75565 86360 120904 151130 172720 241808 302260 604520 1209040 165595853 331191706 662383412 827979265 1159170971 1324766824 1655958530 2318341942 2649533648 2815129501 3311917060 4636683884 5630259002 5795854855 6623834120 9273367768 11260518004 11591709710 13247668240 14075647505 18546735536 19705906507 21030673331 22521036008 23183419420 28151295010 39411813014 42061346662 45042072016 46366838840 56302590020 78823626028 84122693324 92733677680 98529532535 105153366655 112605180040 147214713317 157647252056 168245386648 197059065070 210306733310 225210360080 294429426634 315294504112 336490773296 357521446627 394118130140 420613466620 588858853268 715042893254 736073566585 788236260280 841226933240 1177717706536 1430085786508 1472147133170 1576472520560 1682453866480 1787607233135 2355435413072 2502650126389 2860171573016 2944294266340 3575214466270 5005300252778 5720343146032 5888588532680 7150428932540 10010600505556 11777177065360 12513250631945 14300857865080 20021201011112 25026501263890 28601715730160 40042402022224 50053002527780 100106005055560 200212010111120