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12331001331 = 331141518523
BaseRepresentation
bin10110111101111110…
…00010010111110011
31011211100221202211000
423132333002113303
5200223214020311
65355332053043
7614400532125
oct133677022763
934740852730
1012331001331
11525858a8a0
122481764183
1312168c82bc
1484d981215
154c2855056
hex2defc25f3

12331001331 has 16 divisors (see below), whose sum is σ = 19928891520. Its totient is φ = 7473333960.

The previous prime is 12331001329. The next prime is 12331001341. The reversal of 12331001331 is 13310013321.

It is a happy number.

12331001331 is a `hidden beast` number, since 1 + 2 + 331 + 0 + 0 + 1 + 331 = 666.

It is not a de Polignac number, because 12331001331 - 21 = 12331001329 is a prime.

It is a super-2 number, since 2×123310013312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12331001341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20758965 + ... + 20759558.

It is an arithmetic number, because the mean of its divisors is an integer number (1245555720).

Almost surely, 212331001331 is an apocalyptic number.

12331001331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12331001331 is a deficient number, since it is larger than the sum of its proper divisors (7597890189).

12331001331 is a wasteful number, since it uses less digits than its factorization.

12331001331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41518543 (or 41518537 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 12331001331 its reverse (13310013321), we get a palindrome (25641014652).

It can be divided in two parts, 1 and 2331001331, that added together give a palindrome (2331001332).

The spelling of 12331001331 in words is "twelve billion, three hundred thirty-one million, one thousand, three hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 297 41518523 124555569 373666707 456703753 1121000121 1370111259 4110333777 12331001331