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100412410431 = 367585185381
BaseRepresentation
bin101110110000100001…
…0111100101000111111
3100121011220122222000010
41131201002330220333
53121121034113211
6114043454234303
710153212256164
oct1354102745077
9317156588003
10100412410431
1139648208173
1217563ab5993
1396130a7a98
144c07b3606b
15292a5504a6
hex17610bca3f

100412410431 has 16 divisors (see below), whose sum is σ = 135906286208. Its totient is φ = 65930436000.

The previous prime is 100412410367. The next prime is 100412410453. The reversal of 100412410431 is 134014214001.

It is not a de Polignac number, because 100412410431 - 26 = 100412410367 is a prime.

It is a super-2 number, since 2×1004124104312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100412410398 and 100412410407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412410481) 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, 1133361 + ... + 1218741.

It is an arithmetic number, because the mean of its divisors is an integer number (8494142888).

Almost surely, 2100412410431 is an apocalyptic number.

100412410431 is a deficient number, since it is larger than the sum of its proper divisors (35493875777).

100412410431 is an equidigital number, since it uses as much as digits as its factorization.

100412410431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91302.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 100412410431 its reverse (134014214001), we get a palindrome (234426624432).

The spelling of 100412410431 in words is "one hundred billion, four hundred twelve million, four hundred ten thousand, four hundred thirty-one".

Divisors: 1 3 67 201 5851 17553 85381 256143 392017 1176051 5720527 17161581 499564231 1498692693 33470803477 100412410431