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102112100010120 = 23353797237095059
BaseRepresentation
bin10111001101111011010011…
…011100101100100010001000
3111101112211011211002220221110
4113031323103130230202020
5101341001040100310440
61001101352352010320
730336233013046254
oct2715732334544210
9441484154086843
10102112100010120
112a599553442822
12b5520138309a0
1344c918bc99845
141b30375735264
15bc1283e10080
hex5cded372c888

102112100010120 has 128 divisors (see below), whose sum is σ = 317859121238400. Its totient is φ = 26220816654336.

The previous prime is 102112100010119. The next prime is 102112100010139. The reversal of 102112100010120 is 21010001211201.

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 = 102112100010096 and 102112100010105.

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, 118116850 + ... + 118978209.

It is an arithmetic number, because the mean of its divisors is an integer number (2483274384675).

Almost surely, 2102112100010120 is an apocalyptic number.

102112100010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112100010120 is an abundant number, since it is smaller than the sum of its proper divisors (215747021228280).

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

102112100010120 is a wasteful number, since it uses less digits than its factorization.

102112100010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237095207 (or 237095203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102112100010120 its reverse (21010001211201), we get a palindrome (123122101221321).

The spelling of 102112100010120 in words is "one hundred two trillion, one hundred twelve billion, one hundred million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 97 111 120 148 185 194 222 291 296 370 388 444 485 555 582 740 776 888 970 1110 1164 1455 1480 1940 2220 2328 2910 3589 3880 4440 5820 7178 10767 11640 14356 17945 21534 28712 35890 43068 53835 71780 86136 107670 143560 215340 430680 237095059 474190118 711285177 948380236 1185475295 1422570354 1896760472 2370950590 2845140708 3556425885 4741901180 5690281416 7112851770 8772517183 9483802360 14225703540 17545034366 22998220723 26317551549 28451407080 35090068732 43862585915 45996441446 52635103098 68994662169 70180137464 87725171830 91992882892 105270206196 114991103615 131587757745 137989324338 175450343660 183985765784 210540412392 229982207230 263175515490 275978648676 344973310845 350900687320 459964414460 526351030980 551957297352 689946621690 850934166751 919928828920 1052702061960 1379893243380 1701868333502 2552802500253 2759786486760 3403736667004 4254670833755 5105605000506 6807473334008 8509341667510 10211210001012 12764012501265 17018683335020 20422420002024 25528025002530 34037366670040 51056050005060 102112100010120