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100112011232 = 2561101617823
BaseRepresentation
bin101110100111100100…
…1000000111111100000
3100120101222102002202212
41131033021000333200
53120012133324412
6113554003501252
710142604024602
oct1351711007740
9316358362685
10100112011232
1139503690872
121749b387828
139595a9a38c
144bb9c9b172
15290deb3222
hex174f240fe0

100112011232 has 96 divisors (see below), whose sum is σ = 202884139584. Its totient is φ = 48609792000.

The previous prime is 100112011187. The next prime is 100112011301. The reversal of 100112011232 is 232110211001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121642373 + ... + 121643195.

It is an arithmetic number, because the mean of its divisors is an integer number (2113376454).

Almost surely, 2100112011232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100112011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101442069792).

100112011232 is an abundant number, since it is smaller than the sum of its proper divisors (102772128352).

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

100112011232 is a wasteful number, since it uses less digits than its factorization.

100112011232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100112011232 its reverse (232110211001), we get a palindrome (332222222233).

The spelling of 100112011232 in words is "one hundred billion, one hundred twelve million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 61 101 122 202 244 404 488 617 808 823 976 1234 1616 1646 1952 2468 3232 3292 4936 6161 6584 9872 12322 13168 19744 24644 26336 37637 49288 50203 62317 75274 83123 98576 100406 124634 150548 166246 197152 200812 249268 301096 332492 401624 498536 507791 602192 664984 803248 997072 1015582 1204384 1329968 1606496 1994144 2031164 2659936 3801337 4062328 5070503 7602674 8124656 10141006 15205348 16249312 20282012 30410696 30975251 40564024 51286891 60821392 61950502 81128048 102573782 121642784 123901004 162256096 205147564 247802008 410295128 495604016 820590256 991208032 1641180512 3128500351 6257000702 12514001404 25028002808 50056005616 100112011232