Search a number
-
+
100102011232122 = 235347475927741
BaseRepresentation
bin10110110000101011010000…
…110100100001111101111010
3111010102122210021110001100000
4112300223100310201331322
5101110032404333411442
6552522121253253430
730041063104253244
oct2660532064417572
9433378707401300
10100102011232122
112999402a760789
12b288535034276
1343b176b533363
141aa0d6b013094
15b88d3a389d4c
hex5b0ad0d21f7a

100102011232122 has 48 divisors (see below), whose sum is σ = 224927079485472. Its totient is φ = 33366371154480.

The previous prime is 100102011232109. The next prime is 100102011232159. The reversal of 100102011232122 is 221232110201001.

100102011232122 is a `hidden beast` number, since 100 + 10 + 201 + 1 + 232 + 122 = 666.

100102011232122 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 100102011232095 and 100102011232104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13923172 + ... + 19850912.

It is an arithmetic number, because the mean of its divisors is an integer number (4685980822614).

Almost surely, 2100102011232122 is an apocalyptic number.

100102011232122 is an abundant number, since it is smaller than the sum of its proper divisors (124825068253350).

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

100102011232122 is an equidigital number, since it uses as much as digits as its factorization.

100102011232122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5962505 (or 5962493 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 100102011232122 its reverse (221232110201001), we get a palindrome (321334121433123).

The spelling of 100102011232122 in words is "one hundred trillion, one hundred two billion, eleven million, two hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 34747 69494 104241 208482 312723 625446 938169 1876338 2814507 5629014 5927741 8443521 11855482 16887042 17783223 35566446 53349669 106699338 160049007 320098014 480147021 960294042 1440441063 2880882126 205971216527 411942433054 617913649581 1235827299162 1853740948743 3707481897486 5561222846229 11122445692458 16683668538687 33367337077374 50051005616061 100102011232122