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100102122011122 = 271110159910744207
BaseRepresentation
bin10110110000101011010111…
…011011000111100111110010
3111010102200001222220012112221
4112300223113123013213302
5101110033121213323442
6552522140251511254
730041065621001140
oct2660532733074762
9433380058805487
10100102122011122
1129994087244680
12b28856615852a
1343b178847c16a
141aa0d7ba0c590
15b88d44e6d467
hex5b0ad76c79f2

100102122011122 has 64 divisors (see below), whose sum is σ = 189373112524800. Its totient is φ = 38550211128000.

The previous prime is 100102122011069. The next prime is 100102122011173. The reversal of 100102122011122 is 221110221201001.

It is a super-2 number, since 2×1001021220111222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100102122011096 and 100102122011105.

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, 3944743 + ... + 14688949.

It is an arithmetic number, because the mean of its divisors is an integer number (2958954883200).

Almost surely, 2100102122011122 is an apocalyptic number.

100102122011122 is a deficient number, since it is larger than the sum of its proper divisors (89270990513678).

100102122011122 is a wasteful number, since it uses less digits than its factorization.

100102122011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10744927.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100102122011122 its reverse (221110221201001), we get a palindrome (321212343212123).

The spelling of 100102122011122 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 7 11 14 22 77 101 154 202 599 707 1111 1198 1414 2222 4193 6589 7777 8386 13178 15554 46123 60499 92246 120998 423493 665489 846986 1330978 4658423 9316846 10744207 21488414 75209449 118186277 150418898 236372554 827303939 1085164907 1654607878 2170329814 6435779993 7596154349 11936813977 12871559986 15192308698 23873627954 45050459951 70793579923 83557697839 90100919902 141587159846 167115395678 495555059461 650013779293 991110118922 1300027558586 4550096455051 7150151572223 9100192910102 14300303144446 50051061005561 100102122011122