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2112233132232 = 233229336571281
BaseRepresentation
bin11110101111001010111…
…001111101000011001000
321110221001011021200212100
4132233022321331003020
5234101323140212412
64254202502313400
7305414051250066
oct36571271750310
97427034250770
102112233132232
1174487a5a0223
122a1446728860
1312424b5c34a2
1474338497036
1539e26188edc
hex1ebcae7d0c8

2112233132232 has 24 divisors (see below), whose sum is σ = 5720631399990. Its totient is φ = 704077710720.

The previous prime is 2112233132227. The next prime is 2112233132237. The reversal of 2112233132232 is 2322313322112.

2112233132232 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 2 + 331 + 322 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2112233132227) and next prime (2112233132237).

It can be written as a sum of positive squares in only one way, i.e., 1939986551556 + 172246580676 = 1392834^2 + 415026^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 = 2112233132196 and 2112233132205.

It is not an unprimeable number, because it can be changed into a prime (2112233132237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14668285569 + ... + 14668285712.

Almost surely, 22112233132232 is an apocalyptic number.

It is an amenable number.

2112233132232 is an abundant number, since it is smaller than the sum of its proper divisors (3608398267758).

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

2112233132232 is a wasteful number, since it uses less digits than its factorization.

2112233132232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29336571293 (or 29336571286 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 2112233132232 its reverse (2322313322112), we get a palindrome (4434546454344).

The spelling of 2112233132232 in words is "two trillion, one hundred twelve billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29336571281 58673142562 88009713843 117346285124 176019427686 234692570248 264029141529 352038855372 528058283058 704077710744 1056116566116 2112233132232