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10000331 = 112329247
BaseRepresentation
bin100110001001…
…011111001011
3200211001212122
4212021133023
510030002311
6554201455
7151000325
oct46113713
920731778
1010000331
115710440
12342328b
1320c1a73
141484615
15d280db
hex9897cb

10000331 has 24 divisors (see below), whose sum is σ = 12040704. Its totient is φ = 8217440.

The previous prime is 10000303. The next prime is 10000339. The reversal of 10000331 is 13300001.

It is a de Polignac number, because none of the positive numbers 2k-10000331 is a prime.

It is a super-2 number, since 2×100003312 = 200013240219122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212750 + ... + 212796.

It is an arithmetic number, because the mean of its divisors is an integer number (501696).

Almost surely, 210000331 is an apocalyptic number.

10000331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10000331 is a deficient number, since it is larger than the sum of its proper divisors (2040373).

10000331 is a wasteful number, since it uses less digits than its factorization.

10000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 10000331 is about 3162.3299954306. The cubic root of 10000331 is about 215.4458460366.

Adding to 10000331 its reverse (13300001), we get a palindrome (23300332).

The spelling of 10000331 in words is "ten million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 11 23 29 47 253 319 517 667 841 1081 1363 7337 9251 11891 14993 19343 31349 39527 212773 344839 434797 909121 10000331