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13330032330100 = 2252317934192757
BaseRepresentation
bin1100000111111010001111…
…0101111000010101110100
31202012100010212112222221211
43001332203311320111310
53221344401234030400
644203422102451204
72544030425204533
oct301764365702564
952170125488854
1013330032330100
11427a264812112
1215b3548a33b04
1375902a78b845
143412699ca31a
15181b28708dba
hexc1fa3d78574

13330032330100 has 36 divisors (see below), whose sum is σ = 28927086883884. Its totient is φ = 5331843950080.

The previous prime is 13330032330077. The next prime is 13330032330169. The reversal of 13330032330100 is 103323003331.

It can be written as a sum of positive squares in 6 ways, for example, as 1884788511376 + 11445243818724 = 1372876^2 + 3383082^2 .

It is a super-2 number, since 2×133300323301002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1082922 + ... + 5275678.

It is an arithmetic number, because the mean of its divisors is an integer number (803530191219).

Almost surely, 213330032330100 is an apocalyptic number.

13330032330100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13330032330100 is an abundant number, since it is smaller than the sum of its proper divisors (15597054553784).

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

13330032330100 is a wasteful number, since it uses less digits than its factorization.

13330032330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4224564 (or 4224557 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 22.

Adding to 13330032330100 its reverse (103323003331), we get a palindrome (13433355333431).

The spelling of 13330032330100 in words is "thirteen trillion, three hundred thirty billion, thirty-two million, three hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 31793 63586 127172 158965 317930 635860 794825 1589650 3179300 4192757 8385514 16771028 20963785 41927570 83855140 104818925 209637850 419275700 133300323301 266600646602 533201293204 666501616505 1333003233010 2666006466020 3332508082525 6665016165050 13330032330100