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132133551205000 = 235426426710241
BaseRepresentation
bin11110000010110010111101…
…011000011110101010001000
3122022211211210101000021210211
4132002302331120132222020
5114304334003102030000
61145005152044450504
736555222401550322
oct3602627530365210
9568754711007724
10132133551205000
1139113584a39004
12129a044ab49a34
1358961a96483c7
14248b425a04612
15104216c05d7ba
hex782cbd61ea88

132133551205000 has 40 divisors (see below), whose sum is σ = 309588910485030. Its totient is φ = 52853420480000.

The previous prime is 132133551204973. The next prime is 132133551205031. The reversal of 132133551205000 is 502155331231.

It can be written as a sum of positive squares in 5 ways, for example, as 4191527371684 + 127942023833316 = 2047322^2 + 11311146^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 13213350121 + ... + 13213360120.

Almost surely, 2132133551205000 is an apocalyptic number.

132133551205000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132133551205000 is an abundant number, since it is smaller than the sum of its proper divisors (177455359280030).

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

132133551205000 is an equidigital number, since it uses as much as digits as its factorization.

132133551205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26426710267 (or 26426710248 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 132133551205000 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, five hundred fifty-one million, two hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 26426710241 52853420482 105706840964 132133551205 211413681928 264267102410 528534204820 660667756025 1057068409640 1321335512050 2642671024100 3303338780125 5285342048200 6606677560250 13213355120500 16516693900625 26426710241000 33033387801250 66066775602500 132133551205000