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12305030130 = 23252318773167
BaseRepresentation
bin10110111010110111…
…11101101111110010
31011202120002022000200
423131123331233302
5200200041431010
65353003300030
7613634013261
oct133533755762
934676068020
1012305030130
115244961298
122474b1a616
131211404023
1484a3405d8
154c0424cc0
hex2dd6fdbf2

12305030130 has 96 divisors (see below), whose sum is σ = 33412414464. Its totient is φ = 3136011648.

The previous prime is 12305030123. The next prime is 12305030149. The reversal of 12305030130 is 3103050321.

12305030130 is a `hidden beast` number, since 1 + 2 + 30 + 503 + 0 + 130 = 666.

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, 3883807 + ... + 3886973.

It is an arithmetic number, because the mean of its divisors is an integer number (348045984).

Almost surely, 212305030130 is an apocalyptic number.

12305030130 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 12305030130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16706207232).

12305030130 is an abundant number, since it is smaller than the sum of its proper divisors (21107384334).

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

12305030130 is a wasteful number, since it uses less digits than its factorization.

12305030130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5080 (or 5077 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

Adding to 12305030130 its reverse (3103050321), we get a palindrome (15408080451).

The spelling of 12305030130 in words is "twelve billion, three hundred five million, thirty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1877 2070 3167 3754 5631 6334 9385 9501 11262 15835 16893 18770 19002 28155 28503 31670 33786 43171 47505 56310 57006 72841 84465 86342 95010 129513 142515 145682 168930 215855 218523 259026 285030 364205 388539 431710 437046 647565 655569 728410 777078 1092615 1295130 1311138 1942695 2185230 3277845 3885390 5944459 6555690 11888918 17833377 29722295 35666754 53500131 59444590 89166885 107000262 136722557 178333770 267500655 273445114 410167671 535001310 683612785 820335342 1230503013 1367225570 2050838355 2461006026 4101676710 6152515065 12305030130