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311304403113 = 31110193400661
BaseRepresentation
bin1001000011110110011…
…00000011100010101001
31002202112100011012112220
410201323030003202221
520100022411344423
6355002233424253
731330261523664
oct4417314034251
91082470135486
10311304403113
11110029246710
12503bb26b089
1323481b36232
14110d26106db
15816ed2b9e3
hex487b3038a9

311304403113 has 16 divisors (see below), whose sum is σ = 457289641152. Its totient is φ = 186801320000.

The previous prime is 311304403093. The next prime is 311304403159.

311304403113 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 311304403113 - 29 = 311304402601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (311304403183) 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 in 15 ways as a sum of consecutive naturals, for example, 46696998 + ... + 46703663.

It is an arithmetic number, because the mean of its divisors is an integer number (28580602572).

Almost surely, 2311304403113 is an apocalyptic number.

311304403113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311304403113 is a deficient number, since it is larger than the sum of its proper divisors (145985238039).

311304403113 is a wasteful number, since it uses less digits than its factorization.

311304403113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93400776.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 311304 and 403113, that added together give a palindrome (714417).

The spelling of 311304403113 in words is "three hundred eleven billion, three hundred four million, four hundred three thousand, one hundred thirteen".

Divisors: 1 3 11 33 101 303 1111 3333 93400661 280201983 1027407271 3082221813 9433466761 28300400283 103768134371 311304403113