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2112131329 = 721113728603
BaseRepresentation
bin111110111100100…
…1001000100000001
312110012100101111021
41331321021010001
513311201200304
6545330145441
7103224551200
oct17571110401
95405311437
102112131329
11994274590
124ab422281
13278777869
14160727237
15c5661a54
hex7de49101

2112131329 has 24 divisors (see below), whose sum is σ = 2699988768. Its totient is φ = 1633746240.

The previous prime is 2112131327. The next prime is 2112131353. The reversal of 2112131329 is 9231312112.

It is not a de Polignac number, because 2112131329 - 21 = 2112131327 is a prime.

It is a super-2 number, since 2×21121313292 = 8922197501886612482, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2112131327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59542 + ... + 88144.

It is an arithmetic number, because the mean of its divisors is an integer number (112499532).

Almost surely, 22112131329 is an apocalyptic number.

It is an amenable number.

2112131329 is a deficient number, since it is larger than the sum of its proper divisors (587857439).

2112131329 is a wasteful number, since it uses less digits than its factorization.

2112131329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28765 (or 28758 counting only the distinct ones).

The product of its digits is 648, while the sum is 25.

The square root of 2112131329 is about 45957.9299903727. The cubic root of 2112131329 is about 1283.0403250252.

The spelling of 2112131329 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, three hundred twenty-nine".

Divisors: 1 7 11 49 77 137 539 959 1507 6713 10549 28603 73843 200221 314633 1401547 2202431 3918611 15417017 27430277 43104721 192011939 301733047 2112131329