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13105831 = 137271353
BaseRepresentation
bin110001111111…
…101010100111
3220122211211011
4301333222213
511323341311
61144523051
7216253264
oct61775247
926584734
1013105831
117441672
124480487
13293b43b
141a5226b
15123d321
hexc7faa7

13105831 has 8 divisors (see below), whose sum is σ = 13287744. Its totient is φ = 12925440.

The previous prime is 13105817. The next prime is 13105867. The reversal of 13105831 is 13850131.

13105831 is nontrivially palindromic in base 15.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13105831 - 29 = 13105319 is a prime.

It is a super-2 number, since 2×131058312 = 343525612401122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105811) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36951 + ... + 37303.

It is an arithmetic number, because the mean of its divisors is an integer number (1660968).

Almost surely, 213105831 is an apocalyptic number.

13105831 is a deficient number, since it is larger than the sum of its proper divisors (181913).

13105831 is a wasteful number, since it uses less digits than its factorization.

13105831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 13105831 is about 3620.1976465381. The cubic root of 13105831 is about 235.7698069046.

Adding to 13105831 its reverse (13850131), we get a palindrome (26955962).

The spelling of 13105831 in words is "thirteen million, one hundred five thousand, eight hundred thirty-one".

Divisors: 1 137 271 353 37127 48361 95663 13105831