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131181019201 = 10915734722091
BaseRepresentation
bin111101000101011111…
…1111000000001000001
3110112121020020020101201
41322022333320001001
54122124320103301
6140132544301201
712322534160011
oct1721277700101
9415536206351
10131181019201
11506a72a1361
1221510311801
13c4a778176b
1464c6297c41
15362b8a0201
hex1e8aff8041

131181019201 has 16 divisors (see below), whose sum is σ = 133617718080. Its totient is φ = 128771622720.

The previous prime is 131181019183. The next prime is 131181019217. The reversal of 131181019201 is 102910181131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131181019201 is a prime.

It is a super-2 number, since 2×1311810192012 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131181019201.

It is not an unprimeable number, because it can be changed into a prime (131181019241) 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, 5927166 + ... + 5949256.

It is an arithmetic number, because the mean of its divisors is an integer number (8351107380).

Almost surely, 2131181019201 is an apocalyptic number.

It is an amenable number.

131181019201 is a deficient number, since it is larger than the sum of its proper divisors (2436698879).

131181019201 is a wasteful number, since it uses less digits than its factorization.

131181019201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22704.

The product of its (nonzero) digits is 432, while the sum is 28.

The spelling of 131181019201 in words is "one hundred thirty-one billion, one hundred eighty-one million, nineteen thousand, two hundred one".

Divisors: 1 109 157 347 17113 22091 37823 54479 2407919 3468287 5938211 7665577 378043283 835547893 1203495589 131181019201