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12310323102 = 2327119779091
BaseRepresentation
bin10110111011100000…
…01001111110011110
31011202221001012121200
423131300021332132
5200202420314402
65353312540330
7614030006550
oct133560117636
934687035550
1012310323102
115247946a50
1224768516a6
13121253826c
1484ad1b4d0
154c0b1d21c
hex2ddc09f9e

12310323102 has 96 divisors (see below), whose sum is σ = 33291558144. Its totient is φ = 3193862400.

The previous prime is 12310323061. The next prime is 12310323119. The reversal of 12310323102 is 20132301321.

12310323102 is a `hidden beast` number, since 12 + 310 + 32 + 310 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1349577 + ... + 1358667.

It is an arithmetic number, because the mean of its divisors is an integer number (346787064).

Almost surely, 212310323102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12310323102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16645779072).

12310323102 is an abundant number, since it is smaller than the sum of its proper divisors (20981235042).

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

12310323102 is a wasteful number, since it uses less digits than its factorization.

12310323102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10094 (or 10091 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12310323102 its reverse (20132301321), we get a palindrome (32442624423).

The spelling of 12310323102 in words is "twelve billion, three hundred ten million, three hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 977 1386 1954 2931 5862 6839 8793 9091 10747 13678 17586 18182 20517 21494 27273 32241 41034 54546 61551 63637 64482 75229 81819 96723 100001 123102 127274 150458 163638 190911 193446 200002 225687 300003 381822 451374 572733 600006 677061 700007 900009 1145466 1354122 1400014 1800018 2100021 4200042 6300063 8881907 12600126 17763814 26645721 53291442 62173349 79937163 97700977 124346698 159874326 186520047 195401954 293102931 373040094 559560141 586205862 683906839 879308793 1119120282 1367813678 1758617586 2051720517 4103441034 6155161551 12310323102