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132204323132320 = 2551376031219121
BaseRepresentation
bin11110000011110100110111…
…101101111101001110100000
3122100002121110120212200220011
4132003310313231331032200
5114312013423210213240
61145101454432454304
736563306241163045
oct3603646755751640
9570077416780804
10132204323132320
11391405a193753a
12129b21003aa394
13589ca77996c8a
142490a1ad591cc
151043e102ed6ea
hex783d37b7d3a0

132204323132320 has 48 divisors (see below), whose sum is σ = 314612514280008. Its totient is φ = 52495731220480.

The previous prime is 132204323132317. The next prime is 132204323132339. The reversal of 132204323132320 is 23231323402231.

132204323132320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 124938473497744 + 7265849634576 = 11177588^2 + 2695524^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3015587641 + ... + 3015631480.

Almost surely, 2132204323132320 is an apocalyptic number.

132204323132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132204323132320 is an abundant number, since it is smaller than the sum of its proper divisors (182408191147688).

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

132204323132320 is a wasteful number, since it uses less digits than its factorization.

132204323132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6031219273 (or 6031219265 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 31.

Adding to 132204323132320 its reverse (23231323402231), we get a palindrome (155435646534551).

The spelling of 132204323132320 in words is "one hundred thirty-two trillion, two hundred four billion, three hundred twenty-three million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 137 160 274 548 685 1096 1370 2192 2740 4384 5480 10960 21920 6031219121 12062438242 24124876484 30156095605 48249752968 60312191210 96499505936 120624382420 192999011872 241248764840 482497529680 826277019577 964995059360 1652554039154 3305108078308 4131385097885 6610216156616 8262770195770 13220432313232 16525540391540 26440864626464 33051080783080 66102161566160 132204323132320