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131375323475 = 5211319872
BaseRepresentation
bin111101001011010010…
…1000101100101010011
3110120002202211220202022
41322112211011211103
54123024040322400
6140204125042055
712330413552534
oct1722645054523
9416082756668
10131375323475
1150796a44000
12215653b632b
13c508ac33c6
146503dd668b
15363d981b85
hex1e96945953

131375323475 has 36 divisors (see below), whose sum is σ = 179273925288. Its totient is φ = 95497604400.

The previous prime is 131375323463. The next prime is 131375323487. The reversal of 131375323475 is 574323573131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (131375323463) and next prime (131375323487).

It is a de Polignac number, because none of the positive numbers 2k-131375323475 is a prime.

It is a super-3 number, since 3×1313753234753 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 66116432 + ... + 66118418.

It is an arithmetic number, because the mean of its divisors is an integer number (4979831258).

Almost surely, 2131375323475 is an apocalyptic number.

131375323475 is a deficient number, since it is larger than the sum of its proper divisors (47898601813).

131375323475 is an frugal number, since it uses more digits than its factorization.

131375323475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 2003 counting only the distinct ones).

The product of its digits is 793800, while the sum is 44.

Multiplying 131375323475 by its sum of digits (44), we get a square (5780514232900 = 24042702).

The spelling of 131375323475 in words is "one hundred thirty-one billion, three hundred seventy-five million, three hundred twenty-three thousand, four hundred seventy-five".

Divisors: 1 5 11 25 55 121 275 605 1331 1987 3025 6655 9935 21857 33275 49675 109285 240427 546425 1202135 2644697 3948169 6010675 13223485 19740845 43429859 66117425 98704225 217149295 477728449 1085746475 2388642245 5255012939 11943211225 26275064695 131375323475