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12323001330 = 2325373700601
BaseRepresentation
bin10110111101000001…
…00001001111110010
31011210210220022212200
423132200201033302
5200214142020310
65354444404030
7614242532403
oct133640411762
934723808780
1012323001330
115254016322
12247ab46616
131215056b83
1484c89b9aa
154c1cc49c0
hex2de8213f2

12323001330 has 48 divisors (see below), whose sum is σ = 32905752984. Its totient is φ = 3197318400.

The previous prime is 12323001319. The next prime is 12323001337. The reversal of 12323001330 is 3310032321.

12323001330 is a `hidden beast` number, since 1 + 2 + 32 + 300 + 1 + 330 = 666.

12323001330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12322998081 + 3249 = 111009^2 + 57^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12323001337) 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 23 ways as a sum of consecutive naturals, for example, 1846971 + ... + 1853630.

Almost surely, 212323001330 is an apocalyptic number.

12323001330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12323001330 is an abundant number, since it is smaller than the sum of its proper divisors (20582751654).

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

12323001330 is a wasteful number, since it uses less digits than its factorization.

12323001330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700651 (or 3700648 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 12323001330 its reverse (3310032321), we get a palindrome (15633033651).

The spelling of 12323001330 in words is "twelve billion, three hundred twenty-three million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 3700601 7401202 11101803 18503005 22203606 33305409 37006010 55509015 66610818 111018030 136922237 166527045 273844474 333054090 410766711 684611185 821533422 1232300133 1369222370 2053833555 2464600266 4107667110 6161500665 12323001330