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311213043234 = 232171017036089
BaseRepresentation
bin1001000011101011011…
…11100010111000100010
31002202021222020122100200
410201311233202320202
520044331014340414
6354545211330030
731325102135442
oct4416557427042
91082258218320
10311213043234
1110aa91716685
1250394750916
1323468c29332
14110c442c122
158166cd2109
hex4875be2e22

311213043234 has 24 divisors (see below), whose sum is σ = 713959335180. Its totient is φ = 97635464448.

The previous prime is 311213043203. The next prime is 311213043329. The reversal of 311213043234 is 432340312113.

It is a happy number.

311213043234 is a `hidden beast` number, since 3 + 1 + 121 + 304 + 3 + 234 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 302703534225 + 8509509009 = 550185^2 + 92247^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311213043198 and 311213043207.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 508517739 + ... + 508518350.

Almost surely, 2311213043234 is an apocalyptic number.

311213043234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

311213043234 is an abundant number, since it is smaller than the sum of its proper divisors (402746291946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311213043234 is a wasteful number, since it uses less digits than its factorization.

311213043234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017036114 (or 1017036111 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 311213043234 its reverse (432340312113), we get a palindrome (743553355347).

The spelling of 311213043234 in words is "three hundred eleven billion, two hundred thirteen million, forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 1017036089 2034072178 3051108267 6102216534 9153324801 17289613513 18306649602 34579227026 51868840539 103737681078 155606521617 311213043234