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12330542130 = 2354117357947
BaseRepresentation
bin10110111101111010…
…10010010000110010
31011211100002102220120
423132331102100302
5200223104322010
65355314151110
7614363610264
oct133675222062
934740072816
1012330542130
1152582a6895
122481582496
13121679729a
1484d8a1b34
154c27b3e70
hex2def52432

12330542130 has 64 divisors (see below), whose sum is σ = 30490846848. Its totient is φ = 3189347840.

The previous prime is 12330542087. The next prime is 12330542137. The reversal of 12330542130 is 3124503321.

It is a self number, because there is not a number n which added to its sum of digits gives 12330542130.

It is not an unprimeable number, because it can be changed into a prime (12330542137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183817 + ... + 241763.

It is an arithmetic number, because the mean of its divisors is an integer number (476419482).

Almost surely, 212330542130 is an apocalyptic number.

12330542130 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 12330542130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15245423424).

12330542130 is an abundant number, since it is smaller than the sum of its proper divisors (18160304718).

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

12330542130 is a wasteful number, since it uses less digits than its factorization.

12330542130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58171.

The product of its (nonzero) digits is 2160, while the sum is 24.

The spelling of 12330542130 in words is "twelve billion, three hundred thirty million, five hundred forty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 173 205 246 346 410 519 615 865 1038 1230 1730 2595 5190 7093 14186 21279 35465 42558 57947 70930 106395 115894 173841 212790 289735 347682 579470 869205 1738410 2375827 4751654 7127481 10024831 11879135 14254962 20049662 23758270 30074493 35637405 50124155 60148986 71274810 100248310 150372465 300744930 411018071 822036142 1233054213 2055090355 2466108426 4110180710 6165271065 12330542130