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13332292233 = 3133121272801
BaseRepresentation
bin11000110101010101…
…01010001010001001
31021102011001121201020
430122222222022021
5204301031322413
610042541143053
7651246420441
oct143252521211
937364047636
1013332292233
115721805537
122700b5aa89
131346197c20
14906947121
155306ddc23
hex31aaaa289

13332292233 has 48 divisors (see below), whose sum is σ = 19944142848. Its totient is φ = 7874496000.

The previous prime is 13332292139. The next prime is 13332292249. The reversal of 13332292233 is 33229223331.

It is not a de Polignac number, because 13332292233 - 28 = 13332291977 is a prime.

It is a super-2 number, since 2×133322922332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13332292194 and 13332292203.

It is not an unprimeable number, because it can be changed into a prime (13332292273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4758433 + ... + 4761233.

It is an arithmetic number, because the mean of its divisors is an integer number (415502976).

Almost surely, 213332292233 is an apocalyptic number.

13332292233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13332292233 is a deficient number, since it is larger than the sum of its proper divisors (6611850615).

13332292233 is a wasteful number, since it uses less digits than its factorization.

13332292233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2975 counting only the distinct ones).

The product of its digits is 34992, while the sum is 33.

The spelling of 13332292233 in words is "thirteen billion, three hundred thirty-two million, two hundred ninety-two thousand, two hundred thirty-three".

Divisors: 1 3 13 31 39 93 127 381 403 961 1209 1651 2801 2883 3937 4953 8403 11811 12493 36413 37479 51181 86831 109239 122047 153543 260493 355727 366141 1067181 1128803 1586611 2691761 3386409 4624451 4759833 8075283 11027537 13873353 33082611 34992893 104978679 143357981 341853647 430073943 1025560941 4444097411 13332292233