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133031322320 = 24513127914733
BaseRepresentation
bin111101111100101001…
…0001110001011010000
3110201101011220101002212
41323321102032023100
54134422004303240
6141040322531252
712416432403521
oct1737122161320
9421334811085
10133031322320
1151466793496
1221947b06b28
13c710c04b90
14661dd06848
1536d9043165
hex1ef948e2d0

133031322320 has 40 divisors (see below), whose sum is σ = 333089967336. Its totient is φ = 49119257088.

The previous prime is 133031322301. The next prime is 133031322343. The reversal of 133031322320 is 23223130331.

It can be written as a sum of positive squares in 4 ways, for example, as 3117212224 + 129914110096 = 55832^2 + 360436^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 63956327 + ... + 63958406.

Almost surely, 2133031322320 is an apocalyptic number.

133031322320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133031322320 is an abundant number, since it is smaller than the sum of its proper divisors (200058645016).

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

133031322320 is a wasteful number, since it uses less digits than its factorization.

133031322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127914759 (or 127914753 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 133031322320 its reverse (23223130331), we get a palindrome (156254452651).

The spelling of 133031322320 in words is "one hundred thirty-three billion, thirty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 127914733 255829466 511658932 639573665 1023317864 1279147330 1662891529 2046635728 2558294660 3325783058 5116589320 6651566116 8314457645 10233178640 13303132232 16628915290 26606264464 33257830580 66515661160 133031322320