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12122102331 = 331731184919
BaseRepresentation
bin10110100101000100…
…01001101000111011
31011021210212121021000
423102202021220323
5144311224233311
65322510420043
7606253112133
oct132242115073
934253777230
1012122102331
115160679999
122423801623
1311b2546621
1482dd23ac3
154ae33e056
hex2d2889a3b

12122102331 has 32 divisors (see below), whose sum is σ = 19076428800. Its totient is φ = 7581479040.

The previous prime is 12122102309. The next prime is 12122102371. The reversal of 12122102331 is 13320122121.

12122102331 is a `hidden beast` number, since 121 + 2 + 210 + 2 + 331 = 666.

It is not a de Polignac number, because 12122102331 - 27 = 12122102203 is a prime.

It is a super-2 number, since 2×121221023312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12122102371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100290 + ... + 185208.

It is an arithmetic number, because the mean of its divisors is an integer number (596138400).

Almost surely, 212122102331 is an apocalyptic number.

12122102331 is a deficient number, since it is larger than the sum of its proper divisors (6954326469).

12122102331 is a wasteful number, since it uses less digits than its factorization.

12122102331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85256 (or 85250 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12122102331 its reverse (13320122121), we get a palindrome (25442224452).

The spelling of 12122102331 in words is "twelve billion, one hundred twenty-two million, one hundred two thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 311 459 933 2799 5287 8397 15861 47583 84919 142749 254757 764271 1443623 2292813 4330869 12992607 26409809 38977821 79229427 237688281 448966753 713064843 1346900259 4040700777 12122102331