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100431111424 = 28756044147
BaseRepresentation
bin101110110001000101…
…0010010010100000000
3100121020012212001221111
41131202022102110000
53121140331031144
6114045403133104
710153530235060
oct1354212222400
9317205761844
10100431111424
1139657820536
121756a214194
139616c24b67
144c0a4033a0
15292bee6534
hex1762292500

100431111424 has 36 divisors (see below), whose sum is σ = 229108477024. Its totient is φ = 43041904128.

The previous prime is 100431111349. The next prime is 100431111461. The reversal of 100431111424 is 424111134001.

It is a junction number, because it is equal to n+sod(n) for n = 100431111395 and 100431111404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 28020282 + ... + 28023865.

Almost surely, 2100431111424 is an apocalyptic number.

100431111424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100431111424 is an abundant number, since it is smaller than the sum of its proper divisors (128677365600).

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

100431111424 is an frugal number, since it uses more digits than its factorization.

100431111424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56044170 (or 56044156 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 100431111424 its reverse (424111134001), we get a palindrome (524542245425).

The spelling of 100431111424 in words is "one hundred billion, four hundred thirty-one million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 56044147 112088294 224176588 392309029 448353176 784618058 896706352 1569236116 1793412704 3138472232 3586825408 6276944464 7173650816 12553888928 14347301632 25107777856 50215555712 100431111424