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1311256056 = 2331122322273
BaseRepresentation
bin100111000101000…
…0010110111111000
310101101100201011010
41032022002313320
510141140143211
6334040433520
744331330645
oct11612026770
93341321133
101311256056
116131960a0
123071788a0
1317b879476
14c6210dcc
157a1b54a6
hex4e282df8

1311256056 has 64 divisors (see below), whose sum is σ = 3592350720. Its totient is φ = 395550720.

The previous prime is 1311256043. The next prime is 1311256057. The reversal of 1311256056 is 6506521131.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311256057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47736 + ... + 70008.

It is an arithmetic number, because the mean of its divisors is an integer number (56130480).

Almost surely, 21311256056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311256056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796175360).

1311256056 is an abundant number, since it is smaller than the sum of its proper divisors (2281094664).

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

1311256056 is a wasteful number, since it uses less digits than its factorization.

1311256056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22516 (or 22512 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 1311256056 is about 36211.2697374726. The cubic root of 1311256056 is about 1094.5337787136.

Adding to 1311256056 its reverse (6506521131), we get a palindrome (7817777187).

The spelling of 1311256056 in words is "one billion, three hundred eleven million, two hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 223 264 446 669 892 1338 1784 2453 2676 4906 5352 7359 9812 14718 19624 22273 29436 44546 58872 66819 89092 133638 178184 245003 267276 490006 534552 735009 980012 1470018 1960024 2940036 4966879 5880072 9933758 14900637 19867516 29801274 39735032 54635669 59602548 109271338 119205096 163907007 218542676 327814014 437085352 655628028 1311256056