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12312320130 = 232511122310169
BaseRepresentation
bin10110111011101111…
…10001100010000010
31011210001210200000200
423131313301202002
5200203423221010
65353423430030
7614052665025
oct133567614202
934701720020
1012312320130
115248a90390
122477455316
131212a87236
1484b2bb1bc
154c0db4cc0
hex2dddf1882

12312320130 has 96 divisors (see below), whose sum is σ = 34954208640. Its totient is φ = 2982071040.

The previous prime is 12312320117. The next prime is 12312320143. The reversal of 12312320130 is 3102321321.

12312320130 is a `hidden beast` number, since 1 + 2 + 312 + 320 + 1 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (12312320117) and next prime (12312320143).

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

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, 1205686 + ... + 1215854.

It is an arithmetic number, because the mean of its divisors is an integer number (364106340).

Almost surely, 212312320130 is an apocalyptic number.

12312320130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312320130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17477104320).

12312320130 is an abundant number, since it is smaller than the sum of its proper divisors (22641888510).

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

12312320130 is a wasteful number, since it uses less digits than its factorization.

12312320130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11416 (or 11413 counting only the distinct ones).

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

Adding to 12312320130 its reverse (3102321321), we get a palindrome (15414641451).

The spelling of 12312320130 in words is "twelve billion, three hundred twelve million, three hundred twenty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 1223 2446 3669 6115 7338 10169 11007 12230 13453 18345 20338 22014 26906 30507 36690 40359 50845 55035 61014 67265 80718 91521 101690 110070 111859 121077 134530 152535 183042 201795 223718 242154 305070 335577 403590 457605 559295 605385 671154 915210 1006731 1118590 1210770 1677885 2013462 3355770 5033655 10067310 12436687 24873374 37310061 62183435 74620122 111930183 124366870 136803557 186550305 223860366 273607114 373100610 410410671 559650915 684017785 820821342 1119301830 1231232013 1368035570 2052053355 2462464026 4104106710 6156160065 12312320130