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2140313175 = 32527111321743
BaseRepresentation
bin111111110010010…
…1001011001010111
312112011101011201100
41333210221121113
513340410010200
6552214201143
7104016235050
oct17744513127
95464334640
102140313175
119a9172a70
124b89531b3
13281564100
14164381727
15c7d7bd00
hex7f929657

2140313175 has 432 divisors, whose sum is σ = 5607283968. Its totient is φ = 754790400.

The previous prime is 2140313173. The next prime is 2140313177. The reversal of 2140313175 is 5713130412.

It is an interprime number because it is at equal distance from previous prime (2140313173) and next prime (2140313177).

It is not a de Polignac number, because 2140313175 - 21 = 2140313173 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140313173) 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 431 ways as a sum of consecutive naturals, for example, 49774704 + ... + 49774746.

It is an arithmetic number, because the mean of its divisors is an integer number (12979824).

Almost surely, 22140313175 is an apocalyptic number.

2140313175 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2140313175 is an abundant number, since it is smaller than the sum of its proper divisors (3466970793).

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

2140313175 is a wasteful number, since it uses less digits than its factorization.

2140313175 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2140313175 is about 46263.5188350389. The cubic root of 2140313175 is about 1288.7216017347.

Adding to 2140313175 its reverse (5713130412), we get a palindrome (7853443587).

The spelling of 2140313175 in words is "two billion, one hundred forty million, three hundred thirteen thousand, one hundred seventy-five".