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10313000331 = 3431672392003
BaseRepresentation
bin10011001101011001…
…11110010110001011
3222121201201200212020
421212230332112023
5132110112002311
64423203215523
7513365025234
oct114654762613
928551650766
1010313000331
114412468877
121bb99775a3
13c847ba67a
146db95c08b
154055d8c06
hex266b3e58b

10313000331 has 32 divisors (see below), whose sum is σ = 14221025280. Its totient is φ = 6643981344.

The previous prime is 10313000323. The next prime is 10313000339. The reversal of 10313000331 is 13300031301.

It is an interprime number because it is at equal distance from previous prime (10313000323) and next prime (10313000339).

It is not a de Polignac number, because 10313000331 - 23 = 10313000323 is a prime.

It is a super-2 number, since 2×103130003312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10313000331.

It is not an unprimeable number, because it can be changed into a prime (10313000339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5147776 + ... + 5149778.

It is an arithmetic number, because the mean of its divisors is an integer number (444407040).

Almost surely, 210313000331 is an apocalyptic number.

10313000331 is a deficient number, since it is larger than the sum of its proper divisors (3908024949).

10313000331 is a wasteful number, since it uses less digits than its factorization.

10313000331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2455.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 10313000331 its reverse (13300031301), we get a palindrome (23613031632).

The spelling of 10313000331 in words is "ten billion, three hundred thirteen million, three hundred thirty-one", and thus it is an aban number.

Divisors: 1 3 43 129 167 239 501 717 2003 6009 7181 10277 21543 30831 39913 86129 119739 258387 334501 478717 1003503 1436151 1716259 5148777 14383543 20584831 43150629 61754493 79945739 239837217 3437666777 10313000331