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999982000031 = 74463899537
BaseRepresentation
bin11101000110100111001…
…00100110011110011111
310112121010110112221011112
432203103210212132133
5112340430343000111
62043215124412235
7132150325520000
oct16432344463637
93477113487145
10999982000031
113560a9851293
12141977b4707b
13733b4635881
1436583cbd1a7
151b029dace8b
hexe8d392679f

999982000031 has 20 divisors (see below), whose sum is σ = 1169097155232. Its totient is φ = 855275230656.

The previous prime is 999982000019. The next prime is 999982000051. The reversal of 999982000031 is 130000289999.

It is not a de Polignac number, because 999982000031 - 210 = 999981999007 is a prime.

It is a super-2 number, since 2×9999820000312 (a number of 25 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 (999982000051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 661895 + ... + 1561431.

Almost surely, 2999982000031 is an apocalyptic number.

999982000031 is a deficient number, since it is larger than the sum of its proper divisors (169115155201).

999982000031 is an frugal number, since it uses more digits than its factorization.

999982000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900028 (or 900007 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 50.

Adding to 999982000031 its sum of digits (50), we get a square (999982000081 = 9999912).

The spelling of 999982000031 in words is "nine hundred ninety-nine billion, nine hundred eighty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 7 49 343 463 2401 3241 22687 158809 899537 1111663 6296759 44077313 308541191 416485631 2159788337 2915399417 20407795919 142854571433 999982000031