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131141100000401 = 4431319466348131
BaseRepresentation
bin11101110100010110101010…
…101011100101010010010001
3122012022222002201222101212122
4131310112222223211102101
5114142103433100003101
61142525220055104025
736423426465524201
oct3564265253452221
9565288081871778
10131141100000401
11388706a01218a7
1212860035072015
13582372529390a
142455397d72401
1510264333b751b
hex7745aaae5491

131141100000401 has 16 divisors (see below), whose sum is σ = 131567720739840. Its totient is φ = 130715115345360.

The previous prime is 131141100000353. The next prime is 131141100000403. The reversal of 131141100000401 is 104000001141131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131141100000401 is a prime.

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 131141100000401.

It is not an unprimeable number, because it can be changed into a prime (131141100000403) 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, 2724646106 + ... + 2724694236.

It is an arithmetic number, because the mean of its divisors is an integer number (8222982546240).

Almost surely, 2131141100000401 is an apocalyptic number.

It is an amenable number.

131141100000401 is a deficient number, since it is larger than the sum of its proper divisors (426620739439).

131141100000401 is a wasteful number, since it uses less digits than its factorization.

131141100000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54556.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 131141100000401 its reverse (104000001141131), we get a palindrome (235141101141532).

The spelling of 131141100000401 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred million, four hundred one", and thus it is an aban number.

Divisors: 1 443 1319 4663 48131 584317 2065709 6150497 21322033 63484789 224434853 2724670171 28123761527 99424639879 296029571107 131141100000401