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131362263131 = 1167978118223
BaseRepresentation
bin111101001010111001…
…1010001000001011011
3110120001212021101022212
41322111303101001123
54123012214410011
6140202541105335
712330164545661
oct1722563210133
9416055241285
10131362263131
115078a633630
1221560b5824b
13c50619c8a8
146502396c31
15363c75208b
hex1e95cd105b

131362263131 has 16 divisors (see below), whose sum is σ = 145466009088. Its totient is φ = 117619365600.

The previous prime is 131362263107. The next prime is 131362263211.

131362263131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131362263131 - 214 = 131362246747 is a prime.

It is a super-2 number, since 2×1313622631312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131362263731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7199486 + ... + 7217708.

It is an arithmetic number, because the mean of its divisors is an integer number (9091625568).

Almost surely, 2131362263131 is an apocalyptic number.

131362263131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131362263131 is a deficient number, since it is larger than the sum of its proper divisors (14103745957).

131362263131 is a wasteful number, since it uses less digits than its factorization.

131362263131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28082.

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 131362 and 263131, that added together give a palindrome (394493).

The spelling of 131362263131 in words is "one hundred thirty-one billion, three hundred sixty-two million, two hundred sixty-three thousand, one hundred thirty-one".

Divisors: 1 11 67 737 9781 18223 107591 200453 655327 1220941 7208597 13430351 178239163 1960630793 11942023921 131362263131