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12330430100 = 2252123304301
BaseRepresentation
bin10110111101111001…
…10110111010010100
31011211022212202020022
423132330312322110
5200223042230400
65355311524312
7614362632542
oct133674667224
934738782208
1012330430100
11525822a6aa
122481529698
1312167582b1
1484d872d92
154c2790b85
hex2def36e94

12330430100 has 18 divisors (see below), whose sum is σ = 26757033534. Its totient is φ = 4932172000.

The previous prime is 12330430093. The next prime is 12330430103. The reversal of 12330430100 is 103403321.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 114875524 + 12215554576 = 10718^2 + 110524^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12330430103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61652051 + ... + 61652250.

It is an arithmetic number, because the mean of its divisors is an integer number (1486501863).

Almost surely, 212330430100 is an apocalyptic number.

12330430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12330430100 is an abundant number, since it is smaller than the sum of its proper divisors (14426603434).

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

12330430100 is a wasteful number, since it uses less digits than its factorization.

12330430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123304315 (or 123304308 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12330430100 its reverse (103403321), we get a palindrome (12433833421).

The spelling of 12330430100 in words is "twelve billion, three hundred thirty million, four hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 123304301 246608602 493217204 616521505 1233043010 2466086020 3082607525 6165215050 12330430100