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100424213040 = 24353711309033
BaseRepresentation
bin101110110000110111…
…1111110001000110000
3100121012201212121010210
41131201233332020300
53121132044304130
6114044555224120
710153414504134
oct1354157761060
9317181777123
10100424213040
1139653939698
1217567a48040
13961567ac88
144c095293c4
15292b5d25b0
hex1761bfe230

100424213040 has 80 divisors (see below), whose sum is σ = 319729009248. Its totient is φ = 26056009728.

The previous prime is 100424213011. The next prime is 100424213041. The reversal of 100424213040 is 40312424001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 100424212998 and 100424213016.

It is not an unprimeable number, because it can be changed into a prime (100424213041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5645637 + ... + 5663396.

Almost surely, 2100424213040 is an apocalyptic number.

100424213040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100424213040 is an abundant number, since it is smaller than the sum of its proper divisors (219304796208).

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

100424213040 is a wasteful number, since it uses less digits than its factorization.

100424213040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11309086 (or 11309080 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 100424213040 its reverse (40312424001), we get a palindrome (140736637041).

The spelling of 100424213040 in words is "one hundred billion, four hundred twenty-four million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 11309033 22618066 33927099 45236132 56545165 67854198 90472264 113090330 135708396 169635495 180944528 226180660 271416792 339270990 418434221 452361320 542833584 678541980 836868442 904722640 1255302663 1357083960 1673736884 2092171105 2510605326 2714167920 3347473768 4184342210 5021210652 6276513315 6694947536 8368684420 10042421304 12553026630 16737368840 20084842608 25106053260 33474737680 50212106520 100424213040