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100241001004122 = 232118111093757077
BaseRepresentation
bin10110110010101100101101…
…010000011011110001011010
3111010220221112201020000210100
4112302230231100123301122
5101114322032224112442
6553110025150400230
730054113310652356
oct2662545520336132
9433827481200710
10100241001004122
1129a37a73875650
12b2ab464500076
1343c18bba168b4
141aa79943d0466
15b8c77255984c
hex5b2b2d41bc5a

100241001004122 has 96 divisors (see below), whose sum is σ = 237251271426624. Its totient is φ = 30335300409600.

The previous prime is 100241001004117. The next prime is 100241001004159. The reversal of 100241001004122 is 221400100142001.

100241001004122 is a `hidden beast` number, since 1 + 0 + 0 + 241 + 0 + 0 + 10 + 0 + 412 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100241001004095 and 100241001004104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1756213048 + ... + 1756270124.

It is an arithmetic number, because the mean of its divisors is an integer number (2471367410694).

Almost surely, 2100241001004122 is an apocalyptic number.

100241001004122 is an abundant number, since it is smaller than the sum of its proper divisors (137010270422502).

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

100241001004122 is a wasteful number, since it uses less digits than its factorization.

100241001004122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68844 (or 68841 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100241001004122 its reverse (221400100142001), we get a palindrome (321641101146123).

The spelling of 100241001004122 in words is "one hundred trillion, two hundred forty-one billion, one million, four thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 811 1622 2433 4866 7299 8921 10937 14598 17842 21874 26763 32811 53526 57077 65622 80289 98433 114154 120307 160578 171231 196866 240614 342462 360921 513693 627847 721842 1027386 1082763 1255694 1883541 2165526 3767082 5650623 8869907 11301246 17739814 26609721 46289447 53219442 79829163 92578894 97568977 138868341 159658326 195137954 277736682 292706931 416605023 509183917 585413862 624251149 833210046 878120793 1018367834 1248502298 1527551751 1756241586 1872753447 3055103502 3745506894 4582655253 5618260341 6866762639 9165310506 11236520682 13733525278 20600287917 41200575834 61800863751 123601727502 506267681839 1012535363678 1518803045517 3037606091034 4556409136551 5568944500229 9112818273102 11137889000458 16706833500687 33413667001374 50120500502061 100241001004122