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2112131322 = 233714937501
BaseRepresentation
bin111110111100100…
…1001000011111010
312110012100101111000
41331321021003322
513311201200242
6545330145430
7103224551160
oct17571110372
95405311430
102112131322
11994274584
124ab422276
13278777862
14160727230
15c5661a4c
hex7de490fa

2112131322 has 64 divisors (see below), whose sum is σ = 5400288000. Its totient is φ = 599400000.

The previous prime is 2112131317. The next prime is 2112131327. The reversal of 2112131322 is 2231312112.

2112131322 is a `hidden beast` number, since 211 + 2 + 131 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (2112131317) and next prime (2112131327).

It is a super-2 number, since 2×21121313222 = 8922197442746935368, 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.

It is a junction number, because it is equal to n+sod(n) for n = 2112131295 and 2112131304.

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 31 ways as a sum of consecutive naturals, for example, 37572 + ... + 75072.

It is an arithmetic number, because the mean of its divisors is an integer number (84379500).

Almost surely, 22112131322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112131322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700144000).

2112131322 is an abundant number, since it is smaller than the sum of its proper divisors (3288156678).

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

2112131322 is a wasteful number, since it uses less digits than its factorization.

2112131322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37668 (or 37662 counting only the distinct ones).

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

The square root of 2112131322 is about 45957.9299142161. The cubic root of 2112131322 is about 1283.0403236078.

Adding to 2112131322 its reverse (2231312112), we get a palindrome (4343443434).

The spelling of 2112131322 in words is "two billion, one hundred twelve million, one hundred thirty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 149 189 298 378 447 894 1043 1341 2086 2682 3129 4023 6258 8046 9387 18774 28161 37501 56322 75002 112503 225006 262507 337509 525014 675018 787521 1012527 1575042 2025054 2362563 4725126 5587649 7087689 11175298 14175378 16762947 33525894 39113543 50288841 78227086 100577682 117340629 150866523 234681258 301733046 352021887 704043774 1056065661 2112131322