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311513440005 = 3356137827983
BaseRepresentation
bin1001000100001111010…
…01011101111100000101
31002210001220111101021000
410202013221131330011
520100434420040010
6355035102043513
731335410356665
oct4420751357405
91083056441230
10311513440005
11110126241179
1250459279599
13234b62358c1
14111122a61a5
15818336d7c0
hex4887a5df05

311513440005 has 32 divisors (see below), whose sum is σ = 562880401920. Its totient is φ = 163416882240.

The previous prime is 311513440003. The next prime is 311513440067. The reversal of 311513440005 is 500044315113.

It is a happy number.

311513440005 is a `hidden beast` number, since 311 + 5 + 1 + 344 + 0 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 311513440005 - 21 = 311513440003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311513440003) 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 31 ways as a sum of consecutive naturals, for example, 18905757 + ... + 18922226.

It is an arithmetic number, because the mean of its divisors is an integer number (17590012560).

Almost surely, 2311513440005 is an apocalyptic number.

It is an amenable number.

311513440005 is a deficient number, since it is larger than the sum of its proper divisors (251366961915).

311513440005 is a wasteful number, since it uses less digits than its factorization.

311513440005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37828058 (or 37828052 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 311513440005 its reverse (500044315113), we get a palindrome (811557755118).

The spelling of 311513440005 in words is "three hundred eleven billion, five hundred thirteen million, four hundred forty thousand, five".

Divisors: 1 3 5 9 15 27 45 61 135 183 305 549 915 1647 2745 8235 37827983 113483949 189139915 340451847 567419745 1021355541 1702259235 2307506963 5106777705 6922520889 11537534815 20767562667 34612604445 62302688001 103837813335 311513440005