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12342133100 = 22521121020011
BaseRepresentation
bin10110111111010011…
…00000000101101100
31011212010220022201202
423133221200011230
5200234041224400
65400410425032
7614564254223
oct133751400554
934763808652
1012342133100
1152638a3300
122485432178
131218cc504b
1485123bcba
154c38034d5
hex2dfa6016c

12342133100 has 54 divisors (see below), whose sum is σ = 29438566332. Its totient is φ = 4488044000.

The previous prime is 12342133091. The next prime is 12342133147. The reversal of 12342133100 is 133124321.

12342133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×123421331002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 497906 + ... + 522105.

Almost surely, 212342133100 is an apocalyptic number.

12342133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12342133100 is an abundant number, since it is smaller than the sum of its proper divisors (17096433232).

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

12342133100 is a wasteful number, since it uses less digits than its factorization.

12342133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020047 (or 1020029 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 12342133100 its reverse (133124321), we get a palindrome (12475257421).

The spelling of 12342133100 in words is "twelve billion, three hundred forty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 1020011 2040022 4080044 5100055 10200110 11220121 20400220 22440242 25500275 44880484 51000550 56100605 102001100 112201210 123421331 224402420 246842662 280503025 493685324 561006050 617106655 1122012100 1234213310 2468426620 3085533275 6171066550 12342133100