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122313142013431 is a prime number
BaseRepresentation
bin11011110011111000111111…
…011000011000110111110111
3121001002000121011120100220211
4123303320333120120313313
5112012434303323412211
61112045514242010251
734522555452656545
oct3363707730306767
9531060534510824
10122313142013431
1135a77791a73516
1211875133946987
135333106425245
14222bdb81d6d95
15e219a3946e21
hex6f3e3f618df7

122313142013431 has 2 divisors, whose sum is σ = 122313142013432. Its totient is φ = 122313142013430.

The previous prime is 122313142013429. The next prime is 122313142013443. The reversal of 122313142013431 is 134310241313221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122313142013431 - 21 = 122313142013429 is a prime.

It is a super-2 number, since 2×1223131420134312 (a number of 29 digits) contains 22 as substring.

Together with 122313142013429, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 122313142013393 and 122313142013402.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122313146013431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156571006715 + 61156571006716.

It is an arithmetic number, because the mean of its divisors is an integer number (61156571006716).

Almost surely, 2122313142013431 is an apocalyptic number.

122313142013431 is a deficient number, since it is larger than the sum of its proper divisors (1).

122313142013431 is an equidigital number, since it uses as much as digits as its factorization.

122313142013431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 122313142013431 its reverse (134310241313221), we get a palindrome (256623383326652).

The spelling of 122313142013431 in words is "one hundred twenty-two trillion, three hundred thirteen billion, one hundred forty-two million, thirteen thousand, four hundred thirty-one".