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311424433331 = 111947101313897
BaseRepresentation
bin1001000100000100101…
…01111011110010110011
31002202211201000101001112
410202002111323302303
520100244123331311
6355022202223535
731333250002214
oct4420225736263
91082751011045
10311424433331
1111008aa79140
12504334b4bab
13234a0970b2b
141110453740b
15817a63b28b
hex488257bcb3

311424433331 has 32 divisors (see below), whose sum is σ = 368842705920. Its totient is φ = 259905888000.

The previous prime is 311424433297. The next prime is 311424433343. The reversal of 311424433331 is 133334424113.

It is a happy number.

It is not a de Polignac number, because 311424433331 - 218 = 311424171187 is a prime.

It is a super-2 number, since 2×3114244333312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311424433351) 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, 835175 + ... + 1149071.

It is an arithmetic number, because the mean of its divisors is an integer number (11526334560).

Almost surely, 2311424433331 is an apocalyptic number.

311424433331 is a deficient number, since it is larger than the sum of its proper divisors (57418272589).

311424433331 is a wasteful number, since it uses less digits than its factorization.

311424433331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314075.

The product of its digits is 31104, while the sum is 32.

Adding to 311424433331 its reverse (133334424113), we get a palindrome (444758857444).

The spelling of 311424433331 in words is "three hundred eleven billion, four hundred twenty-four million, four hundred thirty-three thousand, three hundred thirty-one".

Divisors: 1 11 19 47 101 209 517 893 1111 1919 4747 9823 21109 52217 90193 313897 992123 3452867 5964043 14753159 31703597 65604473 162284749 280310021 348739567 602368343 1490069059 3083410231 6626051773 16390759649 28311312121 311424433331