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13205884230 = 23257113751503
BaseRepresentation
bin11000100110010000…
…11100110101000110
31021002100012102112100
430103020130311012
5204021201243410
610022223532530
7645153110130
oct142310346506
937070172470
1013205884230
115667417310
12268675a146
131325c393a6
148d3c40050
1552456e8c0
hex31321cd46

13205884230 has 192 divisors, whose sum is σ = 43965462528. Its totient is φ = 2669863680.

The previous prime is 13205884187. The next prime is 13205884247. The reversal of 13205884230 is 3248850231.

13205884230 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 588 + 42 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230659 + ... + 282161.

It is an arithmetic number, because the mean of its divisors is an integer number (228986784).

Almost surely, 213205884230 is an apocalyptic number.

13205884230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13205884230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21982731264).

13205884230 is an abundant number, since it is smaller than the sum of its proper divisors (30759578298).

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

13205884230 is a wasteful number, since it uses less digits than its factorization.

13205884230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51571 (or 51568 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13205884230 in words is "thirteen billion, two hundred five million, eight hundred eighty-four thousand, two hundred thirty".