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13342634100 = 223252194119031
BaseRepresentation
bin11000110110100100…
…00111000001110100
31021102212112001002100
430123102013001310
5204311203242400
610043550542100
7651433342605
oct143322070164
937385461070
1013342634100
115727629534
122704507930
131348379283
14908079dac
15531583100
hex31b487074

13342634100 has 216 divisors, whose sum is σ = 45098988480. Its totient is φ = 3288384000.

The previous prime is 13342634077. The next prime is 13342634177. The reversal of 13342634100 is 143624331.

13342634100 is a `hidden beast` number, since 13 + 3 + 4 + 2 + 634 + 10 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 691585 + ... + 710615.

Almost surely, 213342634100 is an apocalyptic number.

13342634100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342634100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22549494240).

13342634100 is an abundant number, since it is smaller than the sum of its proper divisors (31756354380).

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

13342634100 is a wasteful number, since it uses less digits than its factorization.

13342634100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19111 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 13342634100 in words is "thirteen billion, three hundred forty-two million, six hundred thirty-four thousand, one hundred".