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13009943700 = 223252133741733
BaseRepresentation
bin11000001110111001…
…11111110010010100
31020120200111121122200
430013130333302110
5203121021144300
65550544124500
7640253461005
oct140734776224
936520447580
1013009943700
115576857296
122631006730
1312c4473a50
148b5bd71ac
15512268200
hex30773fc94

13009943700 has 432 divisors, whose sum is σ = 46265799216. Its totient is φ = 3035750400.

The previous prime is 13009943669. The next prime is 13009943717. The reversal of 13009943700 is 734990031.

13009943700 is a `hidden beast` number, since 130 + 0 + 99 + 437 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 7450451856 + 5559491844 = 86316^2 + 74562^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17748534 + ... + 17749266.

Almost surely, 213009943700 is an apocalyptic number.

13009943700 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 13009943700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23132899608).

13009943700 is an abundant number, since it is smaller than the sum of its proper divisors (33255855516).

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

13009943700 is a wasteful number, since it uses less digits than its factorization.

13009943700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 13009943700 in words is "thirteen billion, nine million, nine hundred forty-three thousand, seven hundred".