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13830111232 = 2147323107
BaseRepresentation
bin11001110000101011…
…01100000000000000
31022200211210102222221
430320111230000000
5211311002024412
610204203140424
7666503002000
oct147025540000
938624712887
1013830111232
1159578122a3
12281b814714
1313c5368392
14952ad2000
1555e275b07
hex33856c000

13830111232 has 240 divisors, whose sum is σ = 33972825600. Its totient is φ = 5616500736.

The previous prime is 13830111181. The next prime is 13830111241. The reversal of 13830111232 is 23211103831.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13830111197 and 13830111206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129253323 + ... + 129253429.

It is an arithmetic number, because the mean of its divisors is an integer number (141553440).

Almost surely, 213830111232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13830111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16986412800).

13830111232 is an abundant number, since it is smaller than the sum of its proper divisors (20142714368).

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

13830111232 is an frugal number, since it uses more digits than its factorization.

13830111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 13830111232 in words is "thirteen billion, eight hundred thirty million, one hundred eleven thousand, two hundred thirty-two".