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131443344131 = 11167331216173
BaseRepresentation
bin111101001101010100…
…0100100001100000011
3110120021111211201112212
41322122220210030003
54123143444003011
6140214555012335
712332200663511
oct1723250441403
9416244751485
10131443344131
1150821382a20
122158413a0ab
13c519c1b008
14650d0614b1
15364491b08b
hex1e9aa24303

131443344131 has 16 divisors (see below), whose sum is σ = 144687852288. Its totient is φ = 118419021600.

The previous prime is 131443344113. The next prime is 131443344209.

131443344131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131443344131 - 234 = 114263474947 is a prime.

It is a super-2 number, since 2×1314433441312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131443344031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499961 + ... + 716133.

It is an arithmetic number, because the mean of its divisors is an integer number (9042990768).

Almost surely, 2131443344131 is an apocalyptic number.

131443344131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131443344131 is a deficient number, since it is larger than the sum of its proper divisors (13244508157).

131443344131 is a wasteful number, since it uses less digits than its factorization.

131443344131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216682.

The product of its digits is 20736, while the sum is 32.

It can be divided in two parts, 131443 and 344131, that added together give a palindrome (475574).

The spelling of 131443344131 in words is "one hundred thirty-one billion, four hundred forty-three million, three hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 11 167 331 1837 3641 55277 216173 608047 2377903 36100891 71553263 397109801 787085893 11949394921 131443344131