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133799922900 = 2234527171271093
BaseRepresentation
bin111110010011100011…
…0001100110011010100
3110210100202011022220000
41330213012030303110
54143010240013100
6141244500411300
712444454402530
oct1744706146324
9423322138800
10133799922900
1151820628486
1221b213a6b30
13c804212b17
14669401abc0
153731766900
hex1f2718ccd4

133799922900 has 720 divisors, whose sum is σ = 529462112256. Its totient is φ = 28531077120.

The previous prime is 133799922821. The next prime is 133799922923. The reversal of 133799922900 is 9229997331.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 122414754 + ... + 122415846.

Almost surely, 2133799922900 is an apocalyptic number.

133799922900 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 133799922900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264731056128).

133799922900 is an abundant number, since it is smaller than the sum of its proper divisors (395662189356).

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

133799922900 is a wasteful number, since it uses less digits than its factorization.

133799922900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 133799922900 in words is "one hundred thirty-three billion, seven hundred ninety-nine million, nine hundred twenty-two thousand, nine hundred".