Search a number
-
+
311162078431 = 31277172321031
BaseRepresentation
bin1001000011100101011…
…01001000010011011111
31002202011102100100210101
410201302231020103133
520044224443002211
6354540151121531
731323613012141
oct4416255102337
91082142310711
10311162078431
1110aa65977006
125037b6732a7
132345b4c3a49
14110bb762c91
1581625b65c1
hex4872b484df

311162078431 has 16 divisors (see below), whose sum is σ = 322561558528. Its totient is φ = 299849104800.

The previous prime is 311162078429. The next prime is 311162078449. The reversal of 311162078431 is 134870261113.

It is a cyclic number.

It is not a de Polignac number, because 311162078431 - 21 = 311162078429 is a prime.

It is a super-2 number, since 2×3111620784312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311162078471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14784886 + ... + 14805916.

It is an arithmetic number, because the mean of its divisors is an integer number (20160097408).

Almost surely, 2311162078431 is an apocalyptic number.

311162078431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

311162078431 is a deficient number, since it is larger than the sum of its proper divisors (11399480097).

311162078431 is a wasteful number, since it uses less digits than its factorization.

311162078431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23062.

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 311162078431 in words is "three hundred eleven billion, one hundred sixty-two million, seventy-eight thousand, four hundred thirty-one".

Divisors: 1 31 277 1723 8587 21031 53413 477271 651961 5825587 14795401 36236413 180593197 1123328803 10037486401 311162078431