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2112121332 = 22346518893
BaseRepresentation
bin111110111100100…
…0110100111110100
312110012022212210000
41331321012213310
513311200340312
6545330031300
7103224510066
oct17571064764
95405285700
102112121332
11994268022
124ab418530
13278773149
14160723736
15c565dadc
hex7de469f4

2112121332 has 30 divisors (see below), whose sum is σ = 5521503218. Its totient is φ = 704040336.

The previous prime is 2112121313. The next prime is 2112121351. The reversal of 2112121332 is 2331212112.

2112121332 is a `hidden beast` number, since 211 + 2 + 121 + 332 = 666.

It is an interprime number because it is at equal distance from previous prime (2112121313) and next prime (2112121351).

It can be written as a sum of positive squares in only one way, i.e., 2101855716 + 10265616 = 45846^2 + 3204^2 .

It is a super-2 number, since 2×21121213322 = 8922113042178908448, 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 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 9 ways as a sum of consecutive naturals, for example, 3259123 + ... + 3259770.

Almost surely, 22112121332 is an apocalyptic number.

It is an amenable number.

2112121332 is an abundant number, since it is smaller than the sum of its proper divisors (3409381886).

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

2112121332 is a wasteful number, since it uses less digits than its factorization.

2112121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518909 (or 6518898 counting only the distinct ones).

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

The square root of 2112121332 is about 45957.8212277301. The cubic root of 2112121332 is about 1283.0383007548.

Adding to 2112121332 its reverse (2331212112), we get a palindrome (4443333444).

The spelling of 2112121332 in words is "two billion, one hundred twelve million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6518893 13037786 19556679 26075572 39113358 58670037 78226716 117340074 176010111 234680148 352020222 528030333 704040444 1056060666 2112121332