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10022200011120 = 2435117948054277
BaseRepresentation
bin1001000111010111100110…
…1010111110100101110000
31022111010001100110122222110
42101311321222332211300
52303200431200323440
633152045104205320
72053036313334633
oct221657152764560
938433040418873
1010022200011120
11321443369aa50
12115a452609840
1357912156988b
14269111695c1a
15125a78dce080
hex91d79abe970

10022200011120 has 160 divisors (see below), whose sum is σ = 34322287518720. Its totient is φ = 2398869457920.

The previous prime is 10022200011107. The next prime is 10022200011209. The reversal of 10022200011120 is 2111000222001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10022200011096 and 10022200011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23818579 + ... + 24235698.

It is an arithmetic number, because the mean of its divisors is an integer number (214514296992).

Almost surely, 210022200011120 is an apocalyptic number.

10022200011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022200011120 is an abundant number, since it is smaller than the sum of its proper divisors (24300087507600).

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

10022200011120 is a wasteful number, since it uses less digits than its factorization.

10022200011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48054383 (or 48054377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10022200011120 its reverse (2111000222001), we get a palindrome (12133200233121).

The spelling of 10022200011120 in words is "ten trillion, twenty-two billion, two hundred million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 79 80 88 110 120 132 158 165 176 220 237 240 264 316 330 395 440 474 528 632 660 790 869 880 948 1185 1264 1320 1580 1738 1896 2370 2607 2640 3160 3476 3792 4345 4740 5214 6320 6952 8690 9480 10428 13035 13904 17380 18960 20856 26070 34760 41712 52140 69520 104280 208560 48054277 96108554 144162831 192217108 240271385 288325662 384434216 480542770 528597047 576651324 720814155 768868432 961085540 1057194094 1153302648 1441628310 1585791141 1922171080 2114388188 2306605296 2642985235 2883256620 3171582282 3796287883 3844342160 4228776376 5285970470 5766513240 6343164564 7592575766 7928955705 8457552752 10571940940 11388863649 11533026480 12686329128 15185151532 15857911410 18981439415 21143881880 22777727298 25372658256 30370303064 31715822820 37962878830 41759166713 42287763760 45555454596 56944318245 60740606128 63431645640 75925757660 83518333426 91110909192 113888636490 125277500139 126863291280 151851515320 167036666852 182221818384 208795833565 227777272980 250555000278 303703030640 334073333704 417591667130 455554545960 501110000556 626387500695 668146667408 835183334260 911109091920 1002220001112 1252775001390 1670366668520 2004440002224 2505550002780 3340733337040 5011100005560 10022200011120