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2012132331 = 321122878887
BaseRepresentation
bin111011111101110…
…1011001111101011
312012020011220122200
41313323223033223
513110101213311
6531354551243
7100601562006
oct16773531753
95166156580
102012132331
11942883890
12481a38523
13260b34661
1415133653d
15bb9ac556
hex77eeb3eb

2012132331 has 24 divisors (see below), whose sum is σ = 3172376064. Its totient is φ = 1218803760.

The previous prime is 2012132327. The next prime is 2012132347. The reversal of 2012132331 is 1332312102.

2012132331 is a `hidden beast` number, since 201 + 2 + 132 + 331 = 666.

It is not a de Polignac number, because 2012132331 - 22 = 2012132327 is a prime.

It is a super-2 number, since 2×20121323312 = 8097353034910987122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2012132371) 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 23 ways as a sum of consecutive naturals, for example, 221970 + ... + 230856.

It is an arithmetic number, because the mean of its divisors is an integer number (132182336).

Almost surely, 22012132331 is an apocalyptic number.

2012132331 is a deficient number, since it is larger than the sum of its proper divisors (1160243733).

2012132331 is a wasteful number, since it uses less digits than its factorization.

2012132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11191 (or 11188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2012132331 is about 44856.7980466729. The cubic root of 2012132331 is about 1262.4635456062.

Adding to 2012132331 its reverse (1332312102), we get a palindrome (3344444433).

The spelling of 2012132331 in words is "two billion, twelve million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 2287 6861 8887 20583 25157 26661 75471 79983 97757 226413 293271 879813 20324569 60973707 182921121 223570259 670710777 2012132331