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31144211393 is a prime number
BaseRepresentation
bin11101000000010101…
…101111001111000001
32222101111022212022212
4131000111233033001
51002240404231033
622150224311505
72151532300061
oct350025571701
988344285285
1031144211393
1112232105a89
126052172595
132c24455469
1417163b53a1
15c242e4748
hex74056f3c1

31144211393 has 2 divisors, whose sum is σ = 31144211394. Its totient is φ = 31144211392.

The previous prime is 31144211387. The next prime is 31144211401. The reversal of 31144211393 is 39311244113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17865797569 + 13278413824 = 133663^2 + 115232^2 .

It is an emirp because it is prime and its reverse (39311244113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31144211393 - 228 = 30875775937 is a prime.

It is not a weakly prime, because it can be changed into another prime (31144211353) 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, 15572105696 + 15572105697.

It is an arithmetic number, because the mean of its divisors is an integer number (15572105697).

Almost surely, 231144211393 is an apocalyptic number.

It is an amenable number.

31144211393 is a deficient number, since it is larger than the sum of its proper divisors (1).

31144211393 is an equidigital number, since it uses as much as digits as its factorization.

31144211393 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 32.

The spelling of 31144211393 in words is "thirty-one billion, one hundred forty-four million, two hundred eleven thousand, three hundred ninety-three".