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100131113231 is a prime number
BaseRepresentation
bin101110101000001000…
…1111000100100001111
3100120110022100120210022
41131100101320210033
53120032031110411
6113555525132355
710143225263552
oct1352021704417
9316408316708
10100131113231
1139513448446
12174a585a0bb
139599a27b36
144bbc630699
1529109d7edb
hex175047890f

100131113231 has 2 divisors, whose sum is σ = 100131113232. Its totient is φ = 100131113230.

The previous prime is 100131113221. The next prime is 100131113273. The reversal of 100131113231 is 132311131001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100131113231 - 26 = 100131113167 is a prime.

It is a super-2 number, since 2×1001311132312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100131113221) 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 as a sum of consecutive naturals, namely, 50065556615 + 50065556616.

It is an arithmetic number, because the mean of its divisors is an integer number (50065556616).

Almost surely, 2100131113231 is an apocalyptic number.

100131113231 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131113231 is an equidigital number, since it uses as much as digits as its factorization.

100131113231 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 100131113231 its reverse (132311131001), we get a palindrome (232442244232).

The spelling of 100131113231 in words is "one hundred billion, one hundred thirty-one million, one hundred thirteen thousand, two hundred thirty-one".