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102220100202012 = 223138912757971959
BaseRepresentation
bin10111001111011111111000…
…110000101110111000011100
3111101221010221112112010022120
4113033133320300232320130
5101344233231122431022
61001223133222542540
730350105242404342
oct2717377060567034
9441833845463276
10102220100202012
112a630334767461
12b56ab34897a50
134506411088830
141b3569d0ad992
15bc3ea5681d5c
hex5cf7f8c2ee1c

102220100202012 has 96 divisors (see below), whose sum is σ = 261792095846400. Its totient is φ = 30854067374592.

The previous prime is 102220100201993. The next prime is 102220100202023. The reversal of 102220100202012 is 210202001022201.

It is a junction number, because it is equal to n+sod(n) for n = 102220100201982 and 102220100202000.

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, 27222712 + ... + 30749247.

It is an arithmetic number, because the mean of its divisors is an integer number (2727000998400).

Almost surely, 2102220100202012 is an apocalyptic number.

102220100202012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220100202012 is an abundant number, since it is smaller than the sum of its proper divisors (159571995644388).

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

102220100202012 is a wasteful number, since it uses less digits than its factorization.

102220100202012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57972195 (or 57972193 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220100202012 its reverse (210202001022201), we get a palindrome (312422101224213).

The spelling of 102220100202012 in words is "one hundred two trillion, two hundred twenty billion, one hundred million, two hundred two thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 127 156 178 254 267 356 381 508 534 762 1068 1157 1524 1651 2314 3302 3471 4628 4953 6604 6942 9906 11303 13884 19812 22606 33909 45212 67818 135636 146939 293878 440817 587756 881634 1763268 57971959 115943918 173915877 231887836 347831754 695663508 753635467 1507270934 2260906401 3014541868 4521812802 5159504351 7362438793 9043625604 10319008702 14724877586 15478513053 20638017404 22087316379 29449755172 30957026106 44174632758 61914052212 67073556563 88349265516 95711704309 134147113126 191423408618 201220669689 268294226252 287135112927 382846817236 402441339378 574270225854 655257052577 804882678756 1148540451708 1310514105154 1965771157731 2621028210308 3931542315462 7863084630924 8518341683501 17036683367002 25555025050503 34073366734004 51110050101006 102220100202012