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13135703361 = 31117180113001
BaseRepresentation
bin11000011101111001…
…01110110101000001
31020220110010212110220
430032330232311001
5203400220001421
610011235413253
7643341431154
oct141674566501
936813125426
1013135703361
1156308423a0
122667154229
131314536451
148c87b1c9b
1551d30a3c6
hex30ef2ed41

13135703361 has 32 divisors (see below), whose sum is σ = 20243177856. Its totient is φ = 7488000000.

The previous prime is 13135703279. The next prime is 13135703387. The reversal of 13135703361 is 16330753131.

It is not a de Polignac number, because 13135703361 - 27 = 13135703233 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13135702361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1003861 + ... + 1016861.

It is an arithmetic number, because the mean of its divisors is an integer number (632599308).

Almost surely, 213135703361 is an apocalyptic number.

13135703361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13135703361 is a deficient number, since it is larger than the sum of its proper divisors (7107474495).

13135703361 is a wasteful number, since it uses less digits than its factorization.

13135703361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14833.

The product of its (nonzero) digits is 17010, while the sum is 33.

The spelling of 13135703361 in words is "thirteen billion, one hundred thirty-five million, seven hundred three thousand, three hundred sixty-one".

Divisors: 1 3 11 17 33 51 187 561 1801 5403 13001 19811 30617 39003 59433 91851 143011 221017 336787 429033 663051 1010361 2431187 7293561 23414801 70244403 257562811 398051617 772688433 1194154851 4378567787 13135703361