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100113032431 is a prime number
BaseRepresentation
bin101110100111100110…
…0111010010011101111
3100120102001022222121001
41131033030322103233
53120012414014211
6113554041421131
710142615510056
oct1351714722357
9316361288531
10100113032431
1139504219035
121749b79a7a7
139596067139
144bba08539d
15290e115ac1
hex174f33a4ef

100113032431 has 2 divisors, whose sum is σ = 100113032432. Its totient is φ = 100113032430.

The previous prime is 100113032423. The next prime is 100113032441. The reversal of 100113032431 is 134230311001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100113032431 - 23 = 100113032423 is a prime.

It is a super-2 number, since 2×1001130324312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100113032399 and 100113032408.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100113032441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50056516215 + 50056516216.

It is an arithmetic number, because the mean of its divisors is an integer number (50056516216).

Almost surely, 2100113032431 is an apocalyptic number.

100113032431 is a deficient number, since it is larger than the sum of its proper divisors (1).

100113032431 is an equidigital number, since it uses as much as digits as its factorization.

100113032431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 100113032431 its reverse (134230311001), we get a palindrome (234343343432).

The spelling of 100113032431 in words is "one hundred billion, one hundred thirteen million, thirty-two thousand, four hundred thirty-one".