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100213102023102 = 23347157251497247
BaseRepresentation
bin10110110010010010101110…
…010110010001000110111110
3111010211021112101100221122000
4112302102232112101012332
5101113342413104214402
6553045132530403130
730052105042353315
oct2662225626210676
9433737471327560
10100213102023102
1129a271575a6242
12b2a5b791304a6
1343bc093a083c3
141aa64a901927c
15b8bb8d0e9c1c
hex5b24ae5911be

100213102023102 has 64 divisors (see below), whose sum is σ = 228882615459840. Its totient is φ = 32485396271328.

The previous prime is 100213102022993. The next prime is 100213102023119. The reversal of 100213102023102 is 201320201312001.

100213102023102 is a `hidden beast` number, since 1 + 0 + 0 + 21 + 310 + 20 + 2 + 310 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 125350158 + ... + 126147089.

It is an arithmetic number, because the mean of its divisors is an integer number (3576290866560).

Almost surely, 2100213102023102 is an apocalyptic number.

100213102023102 is an abundant number, since it is smaller than the sum of its proper divisors (128669513436738).

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

100213102023102 is a wasteful number, since it uses less digits than its factorization.

100213102023102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251497462 (or 251497456 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100213102023102 its reverse (201320201312001), we get a palindrome (301533303335103).

The spelling of 100213102023102 in words is "one hundred trillion, two hundred thirteen billion, one hundred two million, twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 47 54 94 141 157 282 314 423 471 846 942 1269 1413 2538 2826 4239 7379 8478 14758 22137 44274 66411 132822 199233 398466 251497247 502994494 754491741 1508983482 2263475223 4526950446 6790425669 11820370609 13580851338 23640741218 35461111827 39485067779 70922223654 78970135558 106383335481 118455203337 212766670962 236910406674 319150006443 355365610011 638300012886 710731220022 1066096830033 1855798185613 2132193660066 3711596371226 5567394556839 11134789113678 16702183670517 33404367341034 50106551011551 100213102023102