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1332112331 = 1110110931097
BaseRepresentation
bin100111101100110…
…0110101111001011
310102211121022120202
41033121212233023
510212010043311
6340103442415
745003524264
oct11731465713
93384538522
101332112331
11623a40790
1231215640b
13182c9c564
14c8cbd96b
157be34e3b
hex4f666bcb

1332112331 has 16 divisors (see below), whose sum is σ = 1470283488. Its totient is φ = 1196832000.

The previous prime is 1332112319. The next prime is 1332112357.

1332112331 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1332112331 is a prime.

It is a super-2 number, since 2×13321123312 = 3549046524804507122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1332111331) 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 15 ways as a sum of consecutive naturals, for example, 1213775 + ... + 1214871.

It is an arithmetic number, because the mean of its divisors is an integer number (91892718).

Almost surely, 21332112331 is an apocalyptic number.

1332112331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1332112331 is a deficient number, since it is larger than the sum of its proper divisors (138171157).

1332112331 is a wasteful number, since it uses less digits than its factorization.

1332112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302.

The product of its digits is 324, while the sum is 20.

The square root of 1332112331 is about 36498.1140745656. The cubic root of 1332112331 is about 1100.3063419508.

It can be divided in two parts, 13321 and 12331, that added together give a palindrome (25652).

The spelling of 1332112331 in words is "one billion, three hundred thirty-two million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 11 101 1093 1097 1111 12023 12067 110393 110797 1199021 1214323 1218767 13189231 121101121 1332112331