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313232010101 is a prime number
BaseRepresentation
bin1001000111011100001…
…01010010101101110101
31002221111200021210020022
410203232011102231311
520112444343310401
6355521413014525
731426116104303
oct4435605225565
91087450253208
10313232010101
1111092833833a
1250858924445
13236cb2b479a
1411236623273
15823418e71b
hex48ee152b75

313232010101 has 2 divisors, whose sum is σ = 313232010102. Its totient is φ = 313232010100.

The previous prime is 313232010089. The next prime is 313232010211. The reversal of 313232010101 is 101010232313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 272457900625 + 40774109476 = 521975^2 + 201926^2 .

It is a cyclic number.

It is not a de Polignac number, because 313232010101 - 218 = 313231747957 is a prime.

It is a super-2 number, since 2×3132320101012 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313232010101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313232010601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156616005050 + 156616005051.

It is an arithmetic number, because the mean of its divisors is an integer number (156616005051).

Almost surely, 2313232010101 is an apocalyptic number.

It is an amenable number.

313232010101 is a deficient number, since it is larger than the sum of its proper divisors (1).

313232010101 is an equidigital number, since it uses as much as digits as its factorization.

313232010101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 313232010101 its reverse (101010232313), we get a palindrome (414242242414).

The spelling of 313232010101 in words is "three hundred thirteen billion, two hundred thirty-two million, ten thousand, one hundred one".