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131301060204661 = 1131648937046729
BaseRepresentation
bin11101110110101011101001…
…000011010101100001110101
3122012220020222122022201101021
4131312223221003111201311
5114202214032403022121
61143130512505301141
736441121450032634
oct3566535103254165
9565806878281337
10131301060204661
1138922515523916
12128870374947b1
135835838208959
14245d01048751b
15102a6965e3641
hex776ae90d5875

131301060204661 has 8 divisors (see below), whose sum is σ = 132463838614680. Its totient is φ = 130138296218112.

The previous prime is 131301060204659. The next prime is 131301060204697. The reversal of 131301060204661 is 166402060103131.

It can be written as a sum of positive squares in 4 ways, for example, as 6573485782161 + 124727574422500 = 2563881^2 + 11168150^2 .

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 131301060204661 - 21 = 131301060204659 is a prime.

It is a super-2 number, since 2×1313010602046612 (a number of 29 digits) contains 22 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 (131301060207661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15109545 + ... + 22156273.

It is an arithmetic number, because the mean of its divisors is an integer number (16557979826835).

Almost surely, 2131301060204661 is an apocalyptic number.

It is an amenable number.

131301060204661 is a deficient number, since it is larger than the sum of its proper divisors (1162778410019).

131301060204661 is a wasteful number, since it uses less digits than its factorization.

131301060204661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211735.

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 131301060204661 in words is "one hundred thirty-one trillion, three hundred one billion, sixty million, two hundred four thousand, six hundred sixty-one".

Divisors: 1 113 164893 7046729 18632909 796280377 1161956284997 131301060204661