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101131434204 = 22353612719619
BaseRepresentation
bin101111000101111100…
…1110011100011011100
3100200001000122011012020
41132023321303203130
53124104121343304
6114243101340140
710210063002333
oct1361371634334
9320030564166
10101131434204
1139987070399
1217724867650
1396c9048138
144c75422d1a
15296d72e5d9
hex178be738dc

101131434204 has 96 divisors (see below), whose sum is σ = 245294300160. Its totient is φ = 32408812800.

The previous prime is 101131434149. The next prime is 101131434233. The reversal of 101131434204 is 402434131101.

It is a super-2 number, since 2×1011314342042 (a number of 23 digits) contains 22 as substring.

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, 10508907 + ... + 10518525.

It is an arithmetic number, because the mean of its divisors is an integer number (2555148960).

Almost surely, 2101131434204 is an apocalyptic number.

It is an amenable number.

101131434204 is an abundant number, since it is smaller than the sum of its proper divisors (144162865956).

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

101131434204 is a wasteful number, since it uses less digits than its factorization.

101131434204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10011 (or 10009 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101131434204 its reverse (402434131101), we get a palindrome (503565565305).

The spelling of 101131434204 in words is "one hundred one billion, one hundred thirty-one million, four hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 12 53 61 106 122 159 183 212 244 271 318 366 542 636 732 813 1084 1626 3233 3252 6466 9619 9699 12932 14363 16531 19238 19398 28726 28857 33062 38476 38796 43089 49593 57452 57714 66124 86178 99186 115428 172356 198372 509807 586759 876143 1019614 1173518 1529421 1752286 1760277 2039228 2347036 2606749 2628429 3058842 3504572 3520554 5213498 5256858 6117684 7041108 7820247 10426996 10513716 15640494 31098227 31280988 62196454 93294681 124392908 138157697 159011689 186589362 276315394 318023378 373178724 414473091 477035067 552630788 636046756 828946182 954070134 1657892364 1908140268 8427619517 16855239034 25282858551 33710478068 50565717102 101131434204