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2112040033 = 17213155787
BaseRepresentation
bin111110111100011…
…0010110001100001
312110012011202020221
41331320302301201
513311140240113
6545324203041
7103224021055
oct17570626141
95405152227
102112040033
11994211a34
124ab399481
1327874513c
14160701c65
15c564498d
hex7de32c61

2112040033 has 12 divisors (see below), whose sum is σ = 2260752912. Its totient is φ = 1972592960.

The previous prime is 2112040009. The next prime is 2112040061. The reversal of 2112040033 is 3300402112.

It is a happy number.

It is not a de Polignac number, because 2112040033 - 217 = 2111908961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2112039989 and 2112040016.

It is not an unprimeable number, because it can be changed into a prime (2112040003) 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 11 ways as a sum of consecutive naturals, for example, 9966 + ... + 65752.

It is an arithmetic number, because the mean of its divisors is an integer number (188396076).

Almost surely, 22112040033 is an apocalyptic number.

It is an amenable number.

2112040033 is a deficient number, since it is larger than the sum of its proper divisors (148712879).

2112040033 is a wasteful number, since it uses less digits than its factorization.

2112040033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55952 (or 55935 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2112040033 is about 45956.9367234153. The cubic root of 2112040033 is about 1283.0218384636.

Adding to 2112040033 its reverse (3300402112), we get a palindrome (5412442145).

The spelling of 2112040033 in words is "two billion, one hundred twelve million, forty thousand, thirty-three".

Divisors: 1 17 131 289 2227 37859 55787 948379 7308097 16122443 124237649 2112040033