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2131344594225 = 34527111719101419
BaseRepresentation
bin11111000000111110000…
…010011001010100110001
321112202101001212120010000
4133000332002121110301
5234404443204003400
64311043131300213
7306661464064140
oct37007602312461
97482331776100
102131344594225
11751997506510
122a509abaa669
13125ca5b88892
147522c767757
153a693dde600
hex1f03e099531

2131344594225 has 960 divisors, whose sum is σ = 5553544550400. Its totient is φ = 780088320000.

The previous prime is 2131344594193. The next prime is 2131344594229. The reversal of 2131344594225 is 5224954431312.

2131344594225 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 34 + 4 + 594 + 2 + 25 = 666.

It is not a de Polignac number, because 2131344594225 - 25 = 2131344594193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2131344594229) by changing a digit.

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 959 ways as a sum of consecutive naturals, for example, 5086741066 + ... + 5086741484.

It is an arithmetic number, because the mean of its divisors is an integer number (5784942240).

Almost surely, 22131344594225 is an apocalyptic number.

2131344594225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2131344594225 is an abundant number, since it is smaller than the sum of its proper divisors (3422199956175).

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

2131344594225 is a wasteful number, since it uses less digits than its factorization.

2131344594225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 582 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 2131344594225 in words is "two trillion, one hundred thirty-one billion, three hundred forty-four million, five hundred ninety-four thousand, two hundred twenty-five".