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13300643232 = 25345131421
BaseRepresentation
bin11000110001100011…
…11011010110100000
31021022221111200110000
430120301323112200
5204214431040412
610035450540000
7650413413342
oct143061732640
937287450400
1013300643232
115705959138
1226b2437600
13133c7664c6
14902669292
1552ca3b4dc
hex318c7b5a0

13300643232 has 60 divisors (see below), whose sum is σ = 39116829906. Its totient is φ = 4433546880.

The previous prime is 13300643203. The next prime is 13300643299. The reversal of 13300643232 is 23234600331.

It is a happy number.

13300643232 is a `hidden beast` number, since 1 + 330 + 0 + 6 + 4 + 323 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13262746896 + 37896336 = 115164^2 + 6156^2 .

It is a super-2 number, since 2×133006432322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13300643196 and 13300643205.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2563119 + ... + 2568302.

Almost surely, 213300643232 is an apocalyptic number.

13300643232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13300643232 is an abundant number, since it is smaller than the sum of its proper divisors (25816186674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13300643232 is an equidigital number, since it uses as much as digits as its factorization.

13300643232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5131443 (or 5131426 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The spelling of 13300643232 in words is "thirteen billion, three hundred million, six hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5131421 10262842 15394263 20525684 30788526 41051368 46182789 61577052 82102736 92365578 123154104 138548367 164205472 184731156 246308208 277096734 369462312 415645101 492616416 554193468 738924624 831290202 1108386936 1477849248 1662580404 2216773872 3325160808 4433547744 6650321616 13300643232