Search a number
-
+
32113000013 is a prime number
BaseRepresentation
bin11101111010000101…
…010111111001001101
310001220000021102110212
4131322011113321031
51011231412000023
622430313012205
72214534665513
oct357205277115
9101800242425
1032113000013
1112689a51236
1262826b4065
13304a085173
1417a8d1a4b3
15c7e3ace78
hex77a157e4d

32113000013 has 2 divisors, whose sum is σ = 32113000014. Its totient is φ = 32113000012.

The previous prime is 32112999991. The next prime is 32113000021. The reversal of 32113000013 is 31000031123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32111564809 + 1435204 = 179197^2 + 1198^2 .

It is a cyclic number.

It is not a de Polignac number, because 32113000013 - 234 = 14933130829 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (32113000313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16056500006 + 16056500007.

It is an arithmetic number, because the mean of its divisors is an integer number (16056500007).

Almost surely, 232113000013 is an apocalyptic number.

It is an amenable number.

32113000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

32113000013 is an equidigital number, since it uses as much as digits as its factorization.

32113000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 32113000013 its reverse (31000031123), we get a palindrome (63113031136).

The spelling of 32113000013 in words is "thirty-two billion, one hundred thirteen million, thirteen", and thus it is an aban number.