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133332131920 = 24513128203973
BaseRepresentation
bin111110000101100110…
…1101110000001010000
3110202011010221002022011
41330023031232001100
54141031011210140
6141130230152304
712430044264451
oct1741315560120
9422133832264
10133332131920
1151600570169
1221a107b2694
13c75b327320
14664bc4b128
153705661cea
hex1f0b36e050

133332131920 has 40 divisors (see below), whose sum is σ = 333843148296. Its totient is φ = 49230325248.

The previous prime is 133332131893. The next prime is 133332131939. The reversal of 133332131920 is 29131233331.

It can be written as a sum of positive squares in 4 ways, for example, as 3827154496 + 129504977424 = 61864^2 + 359868^2 .

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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64100947 + ... + 64103026.

Almost surely, 2133332131920 is an apocalyptic number.

133332131920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133332131920 is an abundant number, since it is smaller than the sum of its proper divisors (200511016376).

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

133332131920 is a wasteful number, since it uses less digits than its factorization.

133332131920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128203999 (or 128203993 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 31.

The spelling of 133332131920 in words is "one hundred thirty-three billion, three hundred thirty-two million, one hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 128203973 256407946 512815892 641019865 1025631784 1282039730 1666651649 2051263568 2564079460 3333303298 5128158920 6666606596 8333258245 10256317840 13333213192 16666516490 26666426384 33333032980 66666065960 133332131920