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133881300 = 223252779269
BaseRepresentation
bin1111111101011…
…01110111010100
3100022220212121200
413332231313110
5233233200200
621141312500
73213654330
oct776556724
9308825550
10133881300
1169633003
1238a05730
1321977307
1413ad07c0
15bb48800
hex7faddd4

133881300 has 216 divisors, whose sum is σ = 487468800. Its totient is φ = 30101760.

The previous prime is 133881299. The next prime is 133881311. The reversal of 133881300 is 3188331.

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 71 ways as a sum of consecutive naturals, for example, 497566 + ... + 497834.

It is an arithmetic number, because the mean of its divisors is an integer number (2256800).

Almost surely, 2133881300 is an apocalyptic number.

133881300 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 133881300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

133881300 is an abundant number, since it is smaller than the sum of its proper divisors (353587500).

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

133881300 is a wasteful number, since it uses less digits than its factorization.

133881300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 133881300 is about 11570.7087077672. The cubic root of 133881300 is about 511.5718517468.

The spelling of 133881300 in words is "one hundred thirty-three million, eight hundred eighty-one thousand, three hundred".