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2132313003000 = 2332532310301029
BaseRepresentation
bin11111000001110111110…
…000100101001111111000
321112211212120002211012200
4133001313300211033320
5234413434112044000
64311323203510200
7310024463321265
oct37016760451770
97484776084180
102132313003000
11752344112344
122a530b388360
131260cb6b471b
14752c121026c
153a6ede30500
hex1f077c253f8

2132313003000 has 192 divisors, whose sum is σ = 7520575982400. Its totient is φ = 543894278400.

The previous prime is 2132313002987. The next prime is 2132313003011. The reversal of 2132313003000 is 3003132312.

2132313003000 is a `hidden beast` number, since 2 + 1 + 32 + 31 + 300 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 4943515 + ... + 5357514.

It is an arithmetic number, because the mean of its divisors is an integer number (39169666575).

Almost surely, 22132313003000 is an apocalyptic number.

2132313003000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2132313003000 is an abundant number, since it is smaller than the sum of its proper divisors (5388262979400).

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

2132313003000 is a wasteful number, since it uses less digits than its factorization.

2132313003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10301079 (or 10301062 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 2132313003000 its reverse (3003132312), we get a palindrome (2135316135312).

The spelling of 2132313003000 in words is "two trillion, one hundred thirty-two billion, three hundred thirteen million, three thousand".