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1270823013 = 3415689173
BaseRepresentation
bin100101110111111…
…0011100001100101
310021120021111110000
41023233303201211
510100312314023
6330034051513
743330550235
oct11357634145
93246244400
101270823013
115a238a159
122b5719b99
131733907a5
14c0ac7cc5
157687a243
hex4bbf3865

1270823013 has 10 divisors (see below), whose sum is σ = 1898390054. Its totient is φ = 847215288.

The previous prime is 1270822997. The next prime is 1270823027. The reversal of 1270823013 is 3103280721.

It can be written as a sum of positive squares in only one way, i.e., 1268926884 + 1896129 = 35622^2 + 1377^2 .

It is not a de Polignac number, because 1270823013 - 24 = 1270822997 is a prime.

It is a super-2 number, since 2×12708230132 = 3229982260740796338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270823033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7844506 + ... + 7844667.

Almost surely, 21270823013 is an apocalyptic number.

It is an amenable number.

1270823013 is a deficient number, since it is larger than the sum of its proper divisors (627567041).

1270823013 is an equidigital number, since it uses as much as digits as its factorization.

1270823013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15689185 (or 15689176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1270823013 is about 35648.6046430993. The cubic root of 1270823013 is about 1083.1660107235.

It can be divided in two parts, 12708 and 23013, that added together give a square (35721 = 1892).

The spelling of 1270823013 in words is "one billion, two hundred seventy million, eight hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 27 81 15689173 47067519 141202557 423607671 1270823013