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13431335127 = 3716315432543
BaseRepresentation
bin11001000001001000…
…11110100011010111
31021200001102112000120
430200210132203113
5210001410211002
610100440043023
7653561315310
oct144044364327
937601375016
1013431335127
115772702971
12272a163473
131360864ba2
14915b69607
15539254cbc
hex32091e8d7

13431335127 has 32 divisors (see below), whose sum is σ = 20613808128. Its totient is φ = 7620021216.

The previous prime is 13431335119. The next prime is 13431335131. The reversal of 13431335127 is 72153313431.

It is a happy number.

It is not a de Polignac number, because 13431335127 - 23 = 13431335119 is a prime.

It is a super-2 number, since 2×134313351272 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13431335107) 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, 5280418 + ... + 5282960.

It is an arithmetic number, because the mean of its divisors is an integer number (644181504).

Almost surely, 213431335127 is an apocalyptic number.

13431335127 is a deficient number, since it is larger than the sum of its proper divisors (7182473001).

13431335127 is a wasteful number, since it uses less digits than its factorization.

13431335127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259.

The product of its digits is 22680, while the sum is 33.

Adding to 13431335127 its reverse (72153313431), we get a palindrome (85584648558).

The spelling of 13431335127 in words is "thirteen billion, four hundred thirty-one million, three hundred thirty-five thousand, one hundred twenty-seven".

Divisors: 1 3 7 21 163 489 1141 1543 2543 3423 4629 7629 10801 17801 32403 53403 251509 414509 754527 1243527 1760563 2901563 3923849 5281689 8704689 11771547 27466943 82400829 639587387 1918762161 4477111709 13431335127