Search a number
-
+
31331223013 is a prime number
BaseRepresentation
bin11101001011011111…
…001000010111100101
32222212112020001001011
4131023133020113211
51003131243114023
622220544502221
72156263000336
oct351337102745
988775201034
1031331223013
1112318727642
1260a491a971
132c5411291c
14173317628d
15c3593550d
hex74b7c85e5

31331223013 has 2 divisors, whose sum is σ = 31331223014. Its totient is φ = 31331223012.

The previous prime is 31331222987. The next prime is 31331223019. The reversal of 31331223013 is 31032213313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16435752804 + 14895470209 = 128202^2 + 122047^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331223013 - 25 = 31331222981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31331223019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665611506 + 15665611507.

It is an arithmetic number, because the mean of its divisors is an integer number (15665611507).

Almost surely, 231331223013 is an apocalyptic number.

It is an amenable number.

31331223013 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331223013 is an equidigital number, since it uses as much as digits as its factorization.

31331223013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 31331223013 its reverse (31032213313), we get a palindrome (62363436326).

The spelling of 31331223013 in words is "thirty-one billion, three hundred thirty-one million, two hundred twenty-three thousand, thirteen".