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10013402331 = 35167443557
BaseRepresentation
bin10010101001101100…
…00110010011011011
3221211211222112200000
421110312012103123
5131001412333311
64333341544043
7503066341542
oct112466062333
927754875600
1010013402331
114279339419
121b35575023
13c3770084a
146adc51159
153d9159056
hex254d864db

10013402331 has 48 divisors (see below), whose sum is σ = 15150530304. Its totient is φ = 6608762784.

The previous prime is 10013402279. The next prime is 10013402341. The reversal of 10013402331 is 13320431001.

10013402331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10013402331 - 233 = 1423467739 is a prime.

It is a super-2 number, since 2×100134023312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10013402341) 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 47 ways as a sum of consecutive naturals, for example, 17977105 + ... + 17977661.

It is an arithmetic number, because the mean of its divisors is an integer number (315636048).

Almost surely, 210013402331 is an apocalyptic number.

10013402331 is a deficient number, since it is larger than the sum of its proper divisors (5137127973).

10013402331 is an equidigital number, since it uses as much as digits as its factorization.

10013402331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10013402331 its reverse (13320431001), we get a palindrome (23333833332).

The spelling of 10013402331 in words is "ten billion, thirteen million, four hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 27 81 167 243 443 501 557 1329 1503 1671 3987 4509 5013 11961 13527 15039 35883 40581 45117 73981 93019 107649 135351 221943 246751 279057 665829 740253 837171 1997487 2220759 2511513 5992461 6662277 7534539 17977383 19986831 22603617 41207417 59960493 123622251 370866753 1112600259 3337800777 10013402331