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2112332331 = 317375321121
BaseRepresentation
bin111110111100111…
…1010001000101011
312110012201121012210
41331321322020223
513311224113311
6545334340203
7103226346204
oct17571721053
95405647183
102112332331
119943a15aa
124ab4ba663
132788181b5
1416077a5ab
15c56a13a6
hex7de7a22b

2112332331 has 32 divisors (see below), whose sum is σ = 3120648768. Its totient is φ = 1265172480.

The previous prime is 2112332317. The next prime is 2112332371. The reversal of 2112332331 is 1332332112.

It is not a de Polignac number, because 2112332331 - 27 = 2112332203 is a prime.

It is a super-2 number, since 2×21123323312 = 8923895753175787122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2112332298 and 2112332307.

It is not an unprimeable number, because it can be changed into a prime (2112332371) 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 31 ways as a sum of consecutive naturals, for example, 89451 + ... + 110571.

It is an arithmetic number, because the mean of its divisors is an integer number (97520274).

Almost surely, 22112332331 is an apocalyptic number.

2112332331 is a deficient number, since it is larger than the sum of its proper divisors (1008316437).

2112332331 is a wasteful number, since it uses less digits than its factorization.

2112332331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21231.

The product of its digits is 648, while the sum is 21.

The square root of 2112332331 is about 45960.1167426716. The cubic root of 2112332331 is about 1283.0810241186.

Adding to 2112332331 its reverse (1332332112), we get a palindrome (3444664443).

The spelling of 2112332331 in words is "two billion, one hundred twelve million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 17 37 51 53 111 159 629 901 1887 1961 2703 5883 21121 33337 63363 100011 359057 781477 1077171 1119413 2344431 3358239 13285109 19030021 39855327 41418281 57090063 124254843 704110777 2112332331