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102002202021012 = 223731795631155431
BaseRepresentation
bin10111001100010100111101…
…000001001000110010010100
3111101011022111211122122012120
4113030110331001020302110
5101332201002204133022
61000535055324415540
730325262440414536
oct2714247501106224
9441138454578176
10102002202021012
112a556988937a37
12b5348630a75b0
1344bb9c6968817
141b28d0bd07856
15bbd4a0c67d5c
hex5cc53d048c94

102002202021012 has 96 divisors (see below), whose sum is σ = 243044474158080. Its totient is φ = 33288363498240.

The previous prime is 102002202020981. The next prime is 102002202021047. The reversal of 102002202021012 is 210120202200201.

It is a junction number, because it is equal to n+sod(n) for n = 102002202020982 and 102002202021000.

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, 87702937 + ... + 88858367.

It is an arithmetic number, because the mean of its divisors is an integer number (2531713272480).

Almost surely, 2102002202021012 is an apocalyptic number.

102002202021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102002202021012 is an abundant number, since it is smaller than the sum of its proper divisors (141042272137068).

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

102002202021012 is a wasteful number, since it uses less digits than its factorization.

102002202021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156253 (or 1156251 counting only the distinct ones).

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

Adding to 102002202021012 its reverse (210120202200201), we get a palindrome (312122404221213).

The spelling of 102002202021012 in words is "one hundred two trillion, two billion, two hundred two million, twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 73 146 179 219 292 358 438 537 563 716 876 1074 1126 1689 2148 2252 3378 6756 13067 26134 39201 41099 52268 78402 82198 100777 123297 156804 164396 201554 246594 302331 403108 493188 604662 1155431 1209324 2310862 3466293 4621724 6932586 7356721 13865172 14713442 22070163 29426884 44140326 84346463 88280652 168692926 206822149 253039389 337385852 413644298 506078778 620466447 650507653 827288596 1012157556 1240932894 1301015306 1951522959 2481865788 2602030612 3903045918 7806091836 15098016877 30196033754 45294050631 47487058669 60392067508 90588101262 94974117338 116440869887 142461176007 181176202524 189948234676 232881739774 284922352014 349322609661 465763479548 569844704028 698645219322 1397290438644 8500183501751 17000367003502 25500550505253 34000734007004 51001101010506 102002202021012