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12100133333 = 172924543881
BaseRepresentation
bin10110100010011100…
…10110000111010101
31011020021112110110102
423101032112013111
5144240113231313
65320403503445
7605565302441
oct132116260725
934207473412
1012100133333
11514a2342a2
122418387b85
1311aab23c12
1482b045821
154ac44ea58
hex2d13961d5

12100133333 has 8 divisors (see below), whose sum is σ = 13253696280. Its totient is φ = 10995658240.

The previous prime is 12100133329. The next prime is 12100133377. The reversal of 12100133333 is 33333100121.

12100133333 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 503643364 + 11596489969 = 22442^2 + 107687^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12100133333 - 22 = 12100133329 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100133303) 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 7 ways as a sum of consecutive naturals, for example, 12271448 + ... + 12272433.

It is an arithmetic number, because the mean of its divisors is an integer number (1656712035).

Almost surely, 212100133333 is an apocalyptic number.

It is an amenable number.

12100133333 is a deficient number, since it is larger than the sum of its proper divisors (1153562947).

12100133333 is a wasteful number, since it uses less digits than its factorization.

12100133333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24543927.

The product of its (nonzero) digits is 486, while the sum is 20.

Adding to 12100133333 its reverse (33333100121), we get a palindrome (45433233454).

The spelling of 12100133333 in words is "twelve billion, one hundred million, one hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 17 29 493 24543881 417245977 711772549 12100133333