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1131326405865 = 34511324720341
BaseRepresentation
bin10000011101101000010…
…011101111110011101001
311000011011002020001220000
4100131220103233303221
5122013424024441430
62223420231053213
7144510215532615
oct20355023576351
94004132201800
101131326405865
113a687a298417
12163312b11209
13828b6bc23c6
143ca83b48345
151e665c83e60
hex107684efce9

1131326405865 has 40 divisors (see below), whose sum is σ = 2045954385288. Its totient is φ = 598034465280.

The previous prime is 1131326405861. The next prime is 1131326405917. The reversal of 1131326405865 is 5685046231311.

1131326405865 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 3 + 2 + 64 + 0 + 586 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66574836441 + 1064751569424 = 258021^2 + 1031868^2 .

It is not a de Polignac number, because 1131326405865 - 22 = 1131326405861 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1131326405865.

It is not an unprimeable number, because it can be changed into a prime (1131326405861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12314406 + ... + 12405935.

Almost surely, 21131326405865 is an apocalyptic number.

1131326405865 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1131326405865 is a deficient number, since it is larger than the sum of its proper divisors (914627979423).

1131326405865 is a wasteful number, since it uses less digits than its factorization.

1131326405865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24720471 (or 24720462 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1131326405865 in words is "one trillion, one hundred thirty-one billion, three hundred twenty-six million, four hundred five thousand, eight hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 113 135 339 405 565 1017 1695 3051 5085 9153 15255 45765 24720341 74161023 123601705 222483069 370805115 667449207 1112415345 2002347621 2793398533 3337246035 8380195599 10011738105 13966992665 25140586797 41900977995 75421760391 125702933985 226265281173 377108801955 1131326405865