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2112131232 = 25327333789
BaseRepresentation
bin111110111100100…
…1001000010100000
312110012100101100200
41331321021002200
513311201144412
6545330145200
7103224551001
oct17571110240
95405311320
102112131232
11994274502
124ab422200
132787777c3
141607271a8
15c56619dc
hex7de490a0

2112131232 has 36 divisors (see below), whose sum is σ = 6006374010. Its totient is φ = 704043648.

The previous prime is 2112131207. The next prime is 2112131243. The reversal of 2112131232 is 2321312112.

It can be written as a sum of positive squares in only one way, i.e., 1417070736 + 695060496 = 37644^2 + 26364^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×21121312322 = 8922196682379675648, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3666607 + ... + 3667182.

Almost surely, 22112131232 is an apocalyptic number.

It is an amenable number.

2112131232 is an abundant number, since it is smaller than the sum of its proper divisors (3894242778).

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

2112131232 is a wasteful number, since it uses less digits than its factorization.

2112131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7333805 (or 7333794 counting only the distinct ones).

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

The square root of 2112131232 is about 45957.9289350597. The cubic root of 2112131232 is about 1283.0403053839.

Adding to 2112131232 its reverse (2321312112), we get a palindrome (4433443344).

The spelling of 2112131232 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7333789 14667578 22001367 29335156 44002734 58670312 66004101 88005468 117340624 132008202 176010936 234681248 264016404 352021872 528032808 704043744 1056065616 2112131232