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131141101134301 = 1279132177618539
BaseRepresentation
bin11101110100010110101010…
…101111111010000111011101
3122012022222002211010000021221
4131310112222233322013131
5114142103433342244201
61142525220135253341
736423426511256056
oct3564265257720735
9565288084100257
10131141101134301
11388706a0826805
121286003551a251
13582372559ca6b
14245539818972d
15102643353d4a1
hex7745aabfa1dd

131141101134301 has 8 divisors (see below), whose sum is σ = 131342988646400. Its totient is φ = 130939368864480.

The previous prime is 131141101134247. The next prime is 131141101134331. The reversal of 131141101134301 is 103431101141131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131141101134301 - 225 = 131141067579869 is a prime.

It is a super-3 number, since 3×1311411011343013 (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131141101134331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37119711 + ... + 40498828.

It is an arithmetic number, because the mean of its divisors is an integer number (16417873580800).

Almost surely, 2131141101134301 is an apocalyptic number.

It is an amenable number.

131141101134301 is a deficient number, since it is larger than the sum of its proper divisors (201887512099).

131141101134301 is a wasteful number, since it uses less digits than its factorization.

131141101134301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77621139.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 131141101134301 its reverse (103431101141131), we get a palindrome (234572202275432).

The spelling of 131141101134301 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred one million, one hundred thirty-four thousand, three hundred one".

Divisors: 1 1279 1321 1689559 77618539 99274111381 102534090019 131141101134301