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100623514331 is a prime number
BaseRepresentation
bin101110110110110100…
…0001111101011011011
3100121201121220011010002
41131231220033223123
53122034104424311
6114120435043215
710161354521354
oct1355550175333
9317647804102
10100623514331
11397463946aa
121760274050b
139647a4c232
144c27ba8d2b
15293dd4e93b
hex176da0fadb

100623514331 has 2 divisors, whose sum is σ = 100623514332. Its totient is φ = 100623514330.

The previous prime is 100623514283. The next prime is 100623514429. The reversal of 100623514331 is 133415326001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100623514331 is a prime.

It is a super-2 number, since 2×1006235143312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100623514294 and 100623514303.

It is not a weakly prime, because it can be changed into another prime (100623514231) 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, 50311757165 + 50311757166.

It is an arithmetic number, because the mean of its divisors is an integer number (50311757166).

Almost surely, 2100623514331 is an apocalyptic number.

100623514331 is a deficient number, since it is larger than the sum of its proper divisors (1).

100623514331 is an equidigital number, since it uses as much as digits as its factorization.

100623514331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 100623514331 in words is "one hundred billion, six hundred twenty-three million, five hundred fourteen thousand, three hundred thirty-one".