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112133332224 = 283248668981
BaseRepresentation
bin110100001101110101…
…0101101110100000000
3101201102202122111000200
41220123222231310000
53314122113112344
6123302514245200
711046524411634
oct1503352556400
9351382574020
10112133332224
11436123851a1
1219895286800
13a760488674
1455da668dc4
152db4546069
hex1a1baadd00

112133332224 has 54 divisors (see below), whose sum is σ = 323308047426. Its totient is φ = 37377776640.

The previous prime is 112133332217. The next prime is 112133332229. The reversal of 112133332224 is 422233331211.

112133332224 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 333 + 322 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68033332224 + 44100000000 = 260832^2 + 210000^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112133332229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24332187 + ... + 24336794.

Almost surely, 2112133332224 is an apocalyptic number.

It is an amenable number.

112133332224 is an abundant number, since it is smaller than the sum of its proper divisors (211174715202).

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

112133332224 is an equidigital number, since it uses as much as digits as its factorization.

112133332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48669003 (or 48668986 counting only the distinct ones).

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

Adding to 112133332224 its reverse (422233331211), we get a palindrome (534366663435).

The spelling of 112133332224 in words is "one hundred twelve billion, one hundred thirty-three million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 48668981 97337962 146006943 194675924 292013886 389351848 438020829 584027772 778703696 876041658 1168055544 1557407392 1752083316 2336111088 3114814784 3504166632 4672222176 6229629568 7008333264 9344444352 12459259136 14016666528 18688888704 28033333056 37377777408 56066666112 112133332224