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102122211204 = 2232131931130621
BaseRepresentation
bin101111100011011110…
…1010100011110000100
3100202121001221211201200
41133012331110132010
53133121241224304
6114525253222500
710243453321116
oct1370675243604
9322531854650
10102122211204
113a345364862
1217960631a30
1398263a6310
144d2ac4d3b6
1529ca6dce39
hex17c6f54784

102122211204 has 72 divisors (see below), whose sum is σ = 279440011032. Its totient is φ = 31259381760.

The previous prime is 102122211133. The next prime is 102122211229. The reversal of 102122211204 is 402112221201.

102122211204 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 14677807104 + 87444404100 = 121152^2 + 295710^2 .

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

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, 474987 + ... + 655634.

Almost surely, 2102122211204 is an apocalyptic number.

It is an amenable number.

102122211204 is an abundant number, since it is smaller than the sum of its proper divisors (177317799828).

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

102122211204 is a wasteful number, since it uses less digits than its factorization.

102122211204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130837 (or 1130832 counting only the distinct ones).

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

Adding to 102122211204 its reverse (402112221201), we get a palindrome (504234432405).

The spelling of 102122211204 in words is "one hundred two billion, one hundred twenty-two million, two hundred eleven thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 193 234 386 468 579 772 1158 1737 2316 2509 3474 5018 6948 7527 10036 15054 22581 30108 45162 90324 1130621 2261242 3391863 4522484 6783726 10175589 13567452 14698073 20351178 29396146 40702356 44094219 58792292 88188438 132282657 176376876 218209853 264565314 436419706 529130628 654629559 872839412 1309259118 1963888677 2618518236 2836728089 3927777354 5673456178 7855554708 8510184267 11346912356 17020368534 25530552801 34040737068 51061105602 102122211204