Search a number
-
+
313433114011301 is a prime number
BaseRepresentation
bin100011101000100001101010…
…1011010111110011010100101
31112002202220122121212112221102
41013101003111122332122211
5312040242004141330201
63030341103525125445
7123006536516553464
oct10721032532763245
91462686577775842
10313433114011301
11909622677473a9
122b1a152b859885
13105b7800c85c9b
14575835a86c9db
1526381abacd26b
hex11d10d56be6a5

313433114011301 has 2 divisors, whose sum is σ = 313433114011302. Its totient is φ = 313433114011300.

The previous prime is 313433114011273. The next prime is 313433114011309. The reversal of 313433114011301 is 103110411334313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 263776090204225 + 49657023807076 = 16241185^2 + 7046774^2 .

It is a cyclic number.

It is not a de Polignac number, because 313433114011301 - 218 = 313433113749157 is a prime.

It is a super-2 number, since 2×3134331140113012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313433114011309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156716557005650 + 156716557005651.

It is an arithmetic number, because the mean of its divisors is an integer number (156716557005651).

Almost surely, 2313433114011301 is an apocalyptic number.

It is an amenable number.

313433114011301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313433114011301 is an equidigital number, since it uses as much as digits as its factorization.

313433114011301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 29.

Adding to 313433114011301 its reverse (103110411334313), we get a palindrome (416543525345614).

The spelling of 313433114011301 in words is "three hundred thirteen trillion, four hundred thirty-three billion, one hundred fourteen million, eleven thousand, three hundred one".