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2132114310 = 232546575087
BaseRepresentation
bin111111100010101…
…0111101110000110
312111120221121222200
41333011113232012
513331310124220
6551322335330
7103556446464
oct17705275606
95446847880
102132114310
119a4583047
124b605a546
1327c953301
14163249834
15c72ac890
hex7f157b86

2132114310 has 48 divisors (see below), whose sum is σ = 5545777536. Its totient is φ = 568329984.

The previous prime is 2132114293. The next prime is 2132114333. The reversal of 2132114310 is 134112312.

2132114310 is a `hidden beast` number, since 21 + 3 + 211 + 431 + 0 = 666.

It is a super-2 number, since 2×21321143102 = 9091822861813552200, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 416587 + ... + 421673.

It is an arithmetic number, because the mean of its divisors is an integer number (115537032).

Almost surely, 22132114310 is an apocalyptic number.

2132114310 is an abundant number, since it is smaller than the sum of its proper divisors (3413663226).

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

2132114310 is a wasteful number, since it uses less digits than its factorization.

2132114310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9757 (or 9754 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2132114310 is about 46174.8233348001. The cubic root of 2132114310 is about 1287.0739339874.

Adding to 2132114310 its reverse (134112312), we get a palindrome (2266226622).

The spelling of 2132114310 in words is "two billion, one hundred thirty-two million, one hundred fourteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4657 5087 9314 10174 13971 15261 23285 25435 27942 30522 41913 45783 46570 50870 69855 76305 83826 91566 139710 152610 209565 228915 419130 457830 23690159 47380318 71070477 118450795 142140954 213211431 236901590 355352385 426422862 710704770 1066057155 2132114310