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31023123200401 is a prime number
BaseRepresentation
bin1110000110111001000100…
…01111001111100110010001
311001211210002210111110201211
413003130202033033212101
513031240324014403101
6145551454232100121
76351226625165533
oct703344217174621
9131753083443654
1031023123200401
119980918303722
1235905a5234641
131440611171797
147937547d1853
1538beb1588c51
hex1c37223cf991

31023123200401 has 2 divisors, whose sum is σ = 31023123200402. Its totient is φ = 31023123200400.

The previous prime is 31023123200387. The next prime is 31023123200533. The reversal of 31023123200401 is 10400232132013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26163214770001 + 4859908430400 = 5114999^2 + 2204520^2 .

It is a cyclic number.

It is not a de Polignac number, because 31023123200401 - 225 = 31023089645969 is a prime.

It is not a weakly prime, because it can be changed into another prime (31023123200701) 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, 15511561600200 + 15511561600201.

It is an arithmetic number, because the mean of its divisors is an integer number (15511561600201).

Almost surely, 231023123200401 is an apocalyptic number.

It is an amenable number.

31023123200401 is a deficient number, since it is larger than the sum of its proper divisors (1).

31023123200401 is an equidigital number, since it uses as much as digits as its factorization.

31023123200401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31023123200401 its reverse (10400232132013), we get a palindrome (41423355332414).

The spelling of 31023123200401 in words is "thirty-one trillion, twenty-three billion, one hundred twenty-three million, two hundred thousand, four hundred one".