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12321313110 = 233545634493
BaseRepresentation
bin10110111100110100…
…00101000101010110
31011210200201120002000
423132122011011112
5200213224004420
65354344300130
7614222301441
oct133632050526
934720646060
1012321313110
1152530729a7
12247a471646
1312148b5622
1484c57c658
154c1a8e690
hex2de685156

12321313110 has 32 divisors (see below), whose sum is σ = 32856835680. Its totient is φ = 3285683424.

The previous prime is 12321313087. The next prime is 12321313111. The reversal of 12321313110 is 1131312321.

12321313110 is a `hidden beast` number, since 1 + 2 + 321 + 31 + 311 + 0 = 666.

12321313110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12321313111) 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 15 ways as a sum of consecutive naturals, for example, 22816977 + ... + 22817516.

It is an arithmetic number, because the mean of its divisors is an integer number (1026776115).

Almost surely, 212321313110 is an apocalyptic number.

12321313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12321313110 is an abundant number, since it is smaller than the sum of its proper divisors (20535522570).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12321313110 is a wasteful number, since it uses less digits than its factorization.

12321313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45634509 (or 45634503 counting only the distinct ones).

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

Adding to 12321313110 its reverse (1131312321), we get a palindrome (13452625431).

The spelling of 12321313110 in words is "twelve billion, three hundred twenty-one million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 45634493 91268986 136903479 228172465 273806958 410710437 456344930 684517395 821420874 1232131311 1369034790 2053552185 2464262622 4107104370 6160656555 12321313110