Search a number
-
+
311655556113 = 31124718267133
BaseRepresentation
bin1001000100100000001…
…11100110010000010001
31002210102210220121220120
410202100013212100101
520101232310243423
6355101140100453
731342054342446
oct4422007462021
91083383817816
10311655556113
11110199489100
1250498994729
1323509804185
14111270db9cd
158190a91ee3
hex48901e6411

311655556113 has 24 divisors (see below), whose sum is σ = 466469533824. Its totient is φ = 184863375840.

The previous prime is 311655556049. The next prime is 311655556169.

311655556113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 311655556113 - 26 = 311655556049 is a prime.

It is a super-2 number, since 2×3116555561132 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (311655556183) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9116506 + ... + 9150627.

It is an arithmetic number, because the mean of its divisors is an integer number (19436230576).

Almost surely, 2311655556113 is an apocalyptic number.

311655556113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

311655556113 is a deficient number, since it is larger than the sum of its proper divisors (154813977711).

311655556113 is a wasteful number, since it uses less digits than its factorization.

311655556113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18267205 (or 18267194 counting only the distinct ones).

The product of its digits is 202500, while the sum is 42.

It can be divided in two parts, 311655 and 556113, that added together give a palindrome (867768).

The spelling of 311655556113 in words is "three hundred eleven billion, six hundred fifty-five million, five hundred fifty-six thousand, one hundred thirteen".

Divisors: 1 3 11 33 47 121 141 363 517 1551 5687 17061 18267133 54801399 200938463 602815389 858555251 2210323093 2575665753 6630969279 9444107761 28332323283 103885185371 311655556113