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312956001077 = 412533512689
BaseRepresentation
bin1001000110111011010…
…00011001101100110101
31002220210102221002000212
410203131220121230311
520111413214013302
6355434153115205
731416225055256
oct4433550315465
91086712832025
10312956001077
111107a655a705
12507a03b8b05
1323686066835
141120bad6b2d
158219d1e052
hex48dda19b35

312956001077 has 12 divisors (see below), whose sum is σ = 326827702980. Its totient is φ = 299562032640.

The previous prime is 312956001053. The next prime is 312956001079. The reversal of 312956001077 is 770100659213.

It can be written as a sum of positive squares in 6 ways, for example, as 158128703716 + 154827297361 = 397654^2 + 393481^2 .

It is not a de Polignac number, because 312956001077 - 26 = 312956001013 is a prime.

It is a super-2 number, since 2×3129560010772 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312956001079) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1667252 + ... + 1845437.

It is an arithmetic number, because the mean of its divisors is an integer number (27235641915).

Almost surely, 2312956001077 is an apocalyptic number.

It is an amenable number.

312956001077 is a deficient number, since it is larger than the sum of its proper divisors (13871701903).

312956001077 is an equidigital number, since it uses as much as digits as its factorization.

312956001077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512824 (or 3512783 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 41.

The spelling of 312956001077 in words is "three hundred twelve billion, nine hundred fifty-six million, one thousand, seventy-seven".

Divisors: 1 41 53 1681 2173 89093 3512689 144020249 186172517 5904830209 7633073197 312956001077