Search a number
-
+
32120133313 is a prime number
BaseRepresentation
bin11101111010100000…
…100101011011000001
310001220111200211112011
4131322200211123001
51011240223231223
622431125532521
72214652425352
oct357240453301
9101814624464
1032120133313
1112692a83624
126284b74141
13304b6b1c58
1417a9c55d29
15c7ed1b80d
hex77a8256c1

32120133313 has 2 divisors, whose sum is σ = 32120133314. Its totient is φ = 32120133312.

The previous prime is 32120133299. The next prime is 32120133317. The reversal of 32120133313 is 31333102123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26303325489 + 5816807824 = 162183^2 + 76268^2 .

It is a cyclic number.

It is not a de Polignac number, because 32120133313 - 25 = 32120133281 is a prime.

It is not a weakly prime, because it can be changed into another prime (32120133317) 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, 16060066656 + 16060066657.

It is an arithmetic number, because the mean of its divisors is an integer number (16060066657).

Almost surely, 232120133313 is an apocalyptic number.

It is an amenable number.

32120133313 is a deficient number, since it is larger than the sum of its proper divisors (1).

32120133313 is an equidigital number, since it uses as much as digits as its factorization.

32120133313 is an odious number, because the sum of its binary digits is odd.

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

Adding to 32120133313 its reverse (31333102123), we get a palindrome (63453235436).

The spelling of 32120133313 in words is "thirty-two billion, one hundred twenty million, one hundred thirty-three thousand, three hundred thirteen".