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9891312130141 = 131433530963129
BaseRepresentation
bin1000111111110000000000…
…1001010101100001011101
31022000121012112211101121221
42033330000021111201131
52244024401401131031
633012001150453341
72040423635605201
oct217740011254135
938017175741557
109891312130141
113173977916792
121139004504251
135699927528b0
14262a56306b01
15122468134a11
hex8ff0025585d

9891312130141 has 8 divisors (see below), whose sum is σ = 10659615797880. Its totient is φ = 9124070391552.

The previous prime is 9891312130093. The next prime is 9891312130163. The reversal of 9891312130141 is 1410312131989.

It can be written as a sum of positive squares in 4 ways, for example, as 1413008100 + 9889899122041 = 37590^2 + 3144821^2 .

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 9891312130141 - 235 = 9856952391773 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9891322130141) 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, 265462936 + ... + 265500193.

It is an arithmetic number, because the mean of its divisors is an integer number (1332451974735).

Almost surely, 29891312130141 is an apocalyptic number.

It is an amenable number.

9891312130141 is a deficient number, since it is larger than the sum of its proper divisors (768303667739).

9891312130141 is a wasteful number, since it uses less digits than its factorization.

9891312130141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530964575.

The product of its (nonzero) digits is 46656, while the sum is 43.

The spelling of 9891312130141 in words is "nine trillion, eight hundred ninety-one billion, three hundred twelve million, one hundred thirty thousand, one hundred forty-one".

Divisors: 1 13 1433 18629 530963129 6902520677 760870163857 9891312130141