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100412311431 = 3257307424223
BaseRepresentation
bin101110110000100001…
…0100100011110000111
3100121011220110221012110
41131201002210132013
53121121022431211
6114043452152103
710153211364435
oct1354102443607
9317156427173
10100412311431
113964814a853
1217563a68633
1396130719c3
144c07b0bd55
15292a530ea6
hex17610a4787

100412311431 has 16 divisors (see below), whose sum is σ = 134842143744. Its totient is φ = 66463709184.

The previous prime is 100412311429. The next prime is 100412311457. The reversal of 100412311431 is 134113214001.

It is not a de Polignac number, because 100412311431 - 21 = 100412311429 is a prime.

It is a super-2 number, since 2×1004123114312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100412311398 and 100412311407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100412311031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24586 + ... + 448808.

It is an arithmetic number, because the mean of its divisors is an integer number (8427633984).

Almost surely, 2100412311431 is an apocalyptic number.

100412311431 is a deficient number, since it is larger than the sum of its proper divisors (34429832313).

100412311431 is a wasteful number, since it uses less digits than its factorization.

100412311431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424790.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 100412311431 its reverse (134113214001), we get a palindrome (234525525432).

The spelling of 100412311431 in words is "one hundred billion, four hundred twelve million, three hundred eleven thousand, four hundred thirty-one".

Divisors: 1 3 257 307 771 921 78899 236697 424223 1272669 109025311 130236461 327075933 390709383 33470770477 100412311431