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9131332331201 = 174132331299841
BaseRepresentation
bin1000010011100000110111…
…0100011110011011000001
31012022221120020202111210012
42010320031310132123001
52144101432034044301
631230513130114305
71631500633111163
oct204701564363301
935287506674705
109131332331201
112a00638058423
12103586887b995
13513108aac582
14237d5d0ca933
1510c7d84b9ebb
hex84e0dd1e6c1

9131332331201 has 8 divisors (see below), whose sum is σ = 9668500362504. Its totient is φ = 8594167726080.

The previous prime is 9131332331197. The next prime is 9131332331213. The reversal of 9131332331201 is 1021332331319.

It can be written as a sum of positive squares in 4 ways, for example, as 1977440626225 + 7153891704976 = 1406215^2 + 2674676^2 .

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 9131332331201 - 22 = 9131332331197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9131332331501) 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, 6375041 + ... + 7674881.

It is an arithmetic number, because the mean of its divisors is an integer number (1208562545313).

Almost surely, 29131332331201 is an apocalyptic number.

It is an amenable number.

9131332331201 is a deficient number, since it is larger than the sum of its proper divisors (537168031303).

9131332331201 is a wasteful number, since it uses less digits than its factorization.

9131332331201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713091.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 9131332331201 in words is "nine trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred thirty-one thousand, two hundred one".

Divisors: 1 17 413233 1299841 7024961 22097297 537137195953 9131332331201