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2131076412 = 2233171160717
BaseRepresentation
bin111111100000101…
…1010010100111100
312111111222220021000
41333001122110330
513331023421122
6551244210300
7103544564523
oct17701322474
95444886230
102131076412
119a3a34283
124b5839990
1327c67ba7a
141630594ba
15c71550ac
hex7f05a53c

2131076412 has 48 divisors (see below), whose sum is σ = 5850018720. Its totient is φ = 668572416.

The previous prime is 2131076407. The next prime is 2131076413. The reversal of 2131076412 is 2146701312.

2131076412 is a `hidden beast` number, since 2 + 1 + 3 + 10 + 7 + 641 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131076413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578523 + ... + 582194.

It is an arithmetic number, because the mean of its divisors is an integer number (121875390).

Almost surely, 22131076412 is an apocalyptic number.

It is an amenable number.

2131076412 is an abundant number, since it is smaller than the sum of its proper divisors (3718942308).

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

2131076412 is a wasteful number, since it uses less digits than its factorization.

2131076412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160747 (or 1160739 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2131076412 is about 46163.5831798183. The cubic root of 2131076412 is about 1286.8650539608.

Adding to 2131076412 its reverse (2146701312), we get a palindrome (4277777724).

The spelling of 2131076412 in words is "two billion, one hundred thirty-one million, seventy-six thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 1160717 2321434 3482151 4642868 6964302 10446453 13928604 19732189 20892906 31339359 39464378 41785812 59196567 62678718 78928756 118393134 125357436 177589701 236786268 355179402 532769103 710358804 1065538206 2131076412