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12121310331 = 3213734213371
BaseRepresentation
bin10110100100111110…
…01000010001111011
31011021202101100211200
423102133020101323
5144311023412311
65322441425243
7606243303114
oct132237102173
934252340750
1012121310331
115160188949
12242349b223
1311b2329ca0
1482db9920b
154ae234556
hex2d27c847b

12121310331 has 48 divisors (see below), whose sum is σ = 19164748512. Its totient is φ = 7337433600.

The previous prime is 12121310309. The next prime is 12121310359. The reversal of 12121310331 is 13301312121.

12121310331 is a `hidden beast` number, since 1 + 2 + 1 + 21 + 310 + 331 = 666.

It is not a de Polignac number, because 12121310331 - 27 = 12121310203 is a prime.

It is a super-2 number, since 2×121213103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12121315331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3594076 + ... + 3597446.

It is an arithmetic number, because the mean of its divisors is an integer number (399265594).

Almost surely, 212121310331 is an apocalyptic number.

12121310331 is a deficient number, since it is larger than the sum of its proper divisors (7043438181).

12121310331 is a wasteful number, since it uses less digits than its factorization.

12121310331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12121310331 its reverse (13301312121), we get a palindrome (25422622452).

The spelling of 12121310331 in words is "twelve billion, one hundred twenty-one million, three hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 13 39 73 117 219 421 657 949 1263 2847 3371 3789 5473 8541 10113 16419 30339 30733 43823 49257 92199 131469 246083 276597 394407 399529 738249 1198587 1419191 2214747 3199079 3595761 4257573 9597237 12772719 18449483 28791711 55348449 103600943 166045347 310802829 932408487 1346812259 4040436777 12121310331