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12212131311 = 323736673067
BaseRepresentation
bin10110101111110011…
…00101010111101111
31011112002021112210200
423113321211113233
5200002301200221
65335444204543
7611425255242
oct132771452757
934462245720
1012212131311
1151a7480006
122449999753
1311c80a8803
1483bc7b259
154b71c4426
hex2d7e655ef

12212131311 has 12 divisors (see below), whose sum is σ = 18116495592. Its totient is φ = 7921382256.

The previous prime is 12212131259. The next prime is 12212131319. The reversal of 12212131311 is 11313121221.

12212131311 is a `hidden beast` number, since 1 + 221 + 2 + 131 + 311 = 666.

It is not a de Polignac number, because 12212131311 - 26 = 12212131247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212131319) 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 11 ways as a sum of consecutive naturals, for example, 18336201 + ... + 18336866.

It is an arithmetic number, because the mean of its divisors is an integer number (1509707966).

Almost surely, 212212131311 is an apocalyptic number.

12212131311 is a deficient number, since it is larger than the sum of its proper divisors (5904364281).

12212131311 is a wasteful number, since it uses less digits than its factorization.

12212131311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36673110 (or 36673107 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 12212131311 its reverse (11313121221), we get a palindrome (23525252532).

The spelling of 12212131311 in words is "twelve billion, two hundred twelve million, one hundred thirty-one thousand, three hundred eleven".

Divisors: 1 3 9 37 111 333 36673067 110019201 330057603 1356903479 4070710437 12212131311