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999931141 = 11232227757
BaseRepresentation
bin111011100110011…
…011110100000101
32120200112202122201
4323212123310011
54021440244031
6243115554501
733531163066
oct7346336405
92520482581
10999931141
11473487080
1223aa5ba31
1312c214a41
1496b3056d
155cbbad61
hex3b99bd05

999931141 has 24 divisors (see below), whose sum is σ = 1146860064. Its totient is φ = 864531360.

The previous prime is 999931139. The next prime is 999931171. The reversal of 999931141 is 141139999.

It is the 12910-th star number.

It is not a de Polignac number, because 999931141 - 21 = 999931139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 999931091 and 999931100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999931171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1320535 + ... + 1321291.

It is an arithmetic number, because the mean of its divisors is an integer number (47785836).

Almost surely, 2999931141 is an apocalyptic number.

It is an amenable number.

999931141 is a deficient number, since it is larger than the sum of its proper divisors (146928923).

999931141 is a wasteful number, since it uses less digits than its factorization.

999931141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1018 counting only the distinct ones).

The product of its digits is 78732, while the sum is 46.

The square root of 999931141 is about 31621.6878265535. The cubic root of 999931141 is about 999.9770464731.

The spelling of 999931141 in words is "nine hundred ninety-nine million, nine hundred thirty-one thousand, one hundred forty-one".

Divisors: 1 11 23 227 253 529 757 2497 5221 5819 8327 17411 57431 120083 171839 191521 400453 1320913 1890229 3952297 4404983 43475267 90902831 999931141