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331001120997 = 32120130622733
BaseRepresentation
bin1001101000100010011…
…01000100100011100101
31011122101001000010221200
410310101031010203211
520410342241332442
6412020530433113
732625342051321
oct4642115044345
91148331003850
10331001120997
1111841655a358
1254197732799
13252a07341a1
141204050a981
15892413b34c
hex4d113448e5

331001120997 has 12 divisors (see below), whose sum is σ = 478510841484. Its totient is φ = 220483670400.

The previous prime is 331001120981. The next prime is 331001121023. The reversal of 331001120997 is 799021100133.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16270022916 + 314731098081 = 127554^2 + 561009^2 .

It is not a de Polignac number, because 331001120997 - 24 = 331001120981 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331001120297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15300558 + ... + 15322175.

It is an arithmetic number, because the mean of its divisors is an integer number (39875903457).

Almost surely, 2331001120997 is an apocalyptic number.

It is an amenable number.

331001120997 is a deficient number, since it is larger than the sum of its proper divisors (147509720487).

331001120997 is a wasteful number, since it uses less digits than its factorization.

331001120997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30623940 (or 30623937 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The spelling of 331001120997 in words is "three hundred thirty-one billion, one million, one hundred twenty thousand, nine hundred ninety-seven".

Divisors: 1 3 9 1201 3603 10809 30622733 91868199 275604597 36777902333 110333706999 331001120997