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131138858321 = 972515719433
BaseRepresentation
bin111101000100001111…
…1000010110101010001
3110112111021220020112122
41322020133002311101
54122033021431241
6140124440504025
712321512622002
oct1721037026521
9415437806478
10131138858321
1150685515259
12214ba17b015
13c49bb0c4b3
1464c08411a9
153627d2304b
hex1e887c2d51

131138858321 has 16 divisors (see below), whose sum is σ = 133265740608. Its totient is φ = 129029760000.

The previous prime is 131138858311. The next prime is 131138858327. The reversal of 131138858321 is 123858831131.

It is a cyclic number.

It is not a de Polignac number, because 131138858321 - 214 = 131138841937 is a prime.

It is a super-3 number, since 3×1311388583213 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131138858327) 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, 13897421 + ... + 13906853.

It is an arithmetic number, because the mean of its divisors is an integer number (8329108788).

Almost surely, 2131138858321 is an apocalyptic number.

It is an amenable number.

131138858321 is a deficient number, since it is larger than the sum of its proper divisors (2126882287).

131138858321 is an equidigital number, since it uses as much as digits as its factorization.

131138858321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352.

The product of its digits is 138240, while the sum is 44.

The spelling of 131138858321 in words is "one hundred thirty-one billion, one hundred thirty-eight million, eight hundred fifty-eight thousand, three hundred twenty-one".

Divisors: 1 97 251 571 9433 24347 55387 143321 915001 2367683 5386243 13902137 229665251 522465571 1351946993 131138858321