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13122110331 = 32111767116371
BaseRepresentation
bin11000011100010001…
…11000001101111011
31020212111120021100100
430032020320031323
5203333230012311
610010032210443
7643115045301
oct141610701573
936774507310
1013122110331
1156240a8790
122662699a23
131311787335
148c6a74271
1551c022a56
hex30e23837b

13122110331 has 48 divisors (see below), whose sum is σ = 22220535168. Its totient is φ = 7373203200.

The previous prime is 13122110329. The next prime is 13122110359. The reversal of 13122110331 is 13301122131.

13122110331 is a `hidden beast` number, since 1 + 312 + 21 + 1 + 0 + 331 = 666.

13122110331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13122110331 - 21 = 13122110329 is a prime.

It is a super-2 number, since 2×131221103312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122110321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54576 + ... + 170946.

It is an arithmetic number, because the mean of its divisors is an integer number (462927816).

Almost surely, 213122110331 is an apocalyptic number.

13122110331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122110331 is a deficient number, since it is larger than the sum of its proper divisors (9098424837).

13122110331 is a wasteful number, since it uses less digits than its factorization.

13122110331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116472 (or 116469 counting only the distinct ones).

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

Adding to 13122110331 its reverse (13301122131), we get a palindrome (26423232462).

The spelling of 13122110331 in words is "thirteen billion, one hundred twenty-two million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 11 17 33 51 67 99 153 187 201 561 603 737 1139 1683 2211 3417 6633 10251 12529 37587 112761 116371 349113 1047339 1280081 1978307 3840243 5934921 7796857 11520729 17804763 21761377 23390571 65284131 70171713 85765427 132546569 195852393 257296281 397639707 771888843 1192919121 1458012259 4374036777 13122110331