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2112330033 = 3211212491553
BaseRepresentation
bin111110111100111…
…1001100100110001
312110012201111001200
41331321321210301
513311224030113
6545334321413
7103226336412
oct17571714461
95405644050
102112330033
1199439a900
124ab4b9269
13278817138
14160779809
15c56a0873
hex7de79931

2112330033 has 36 divisors (see below), whose sum is σ = 3358582500. Its totient is φ = 1278351360.

The previous prime is 2112330007. The next prime is 2112330047. The reversal of 2112330033 is 3300332112.

It can be written as a sum of positive squares in 2 ways, for example, as 502073649 + 1610256384 = 22407^2 + 40128^2 .

It is not a de Polignac number, because 2112330033 - 25 = 2112330001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2112329988 and 2112330015.

It is not an unprimeable number, because it can be changed into a prime (2112330083) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1359385 + ... + 1360937.

Almost surely, 22112330033 is an apocalyptic number.

It is an amenable number.

2112330033 is a deficient number, since it is larger than the sum of its proper divisors (1246252467).

2112330033 is a wasteful number, since it uses less digits than its factorization.

2112330033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2112330033 is about 45960.0917427283. The cubic root of 2112330033 is about 1283.0805588318.

Adding to 2112330033 its reverse (3300332112), we get a palindrome (5412662145).

The spelling of 2112330033 in words is "two billion, one hundred twelve million, three hundred thirty thousand, thirty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 1249 1553 3747 4659 11241 13739 13977 17083 41217 51249 123651 151129 153747 187913 453387 563739 1360161 1691217 1939697 5819091 17457273 21336667 64010001 192030003 234703337 704110011 2112330033