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1013010042256 = 242516212
BaseRepresentation
bin11101011110111000001…
…10101000110110010000
310120211202102010001022221
432233130012220312100
5113044121032323011
62053212000510424
7133121222200252
oct16573406506620
93524672101287
101013010042256
1136068483a233
121443b301b414
13746ac7753b4
143705c267cd2
151b53d9ed971
hexebdc1a8d90

1013010042256 has 15 divisors (see below), whose sum is σ = 1962714757153. Its totient is φ = 506503008160.

The previous prime is 1013010042251. The next prime is 1013010042281. The reversal of 1013010042256 is 6522400103101.

It is a happy number.

The square root of 1013010042256 is 1006484.

It is a perfect power (a square), and thus also a powerful number.

1013010042256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 114457715856 + 898552326400 = 338316^2 + 947920^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1013010042256.

It is not an unprimeable number, because it can be changed into a prime (1013010042251) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3900126 + ... + 4151746.

Almost surely, 21013010042256 is an apocalyptic number.

1013010042256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1013010042256 is the 1006484-th square number.

It is an amenable number.

1013010042256 is a deficient number, since it is larger than the sum of its proper divisors (949704714897).

1013010042256 is an frugal number, since it uses more digits than its factorization.

1013010042256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503250 (or 251623 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 1013010042256 by its sum of digits (25), we get a square (25325251056400 = 50324202).

Adding to 1013010042256 its reverse (6522400103101), we get a palindrome (7535410145357).

The spelling of 1013010042256 in words is "one trillion, thirteen billion, ten million, forty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 251621 503242 1006484 2012968 4025936 63313127641 126626255282 253252510564 506505021128 1013010042256