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12421142100 = 2233524600423
BaseRepresentation
bin10111001000101101…
…11001011001010100
31012001122120101201000
423210112321121110
5200414303021400
65412312103300
7616543652163
oct134426713124
935048511630
1012421142100
1152a44579a4
1224a7994b30
13122c499333
1485b9273da
154ca70d600
hex2e45b9654

12421142100 has 72 divisors (see below), whose sum is σ = 39931680320. Its totient is φ = 3312303840.

The previous prime is 12421142087. The next prime is 12421142117. The reversal of 12421142100 is 124112421.

12421142100 is a `hidden beast` number, since 1 + 2 + 421 + 142 + 100 = 666.

12421142100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2297512 + ... + 2302911.

Almost surely, 212421142100 is an apocalyptic number.

12421142100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12421142100 is an abundant number, since it is smaller than the sum of its proper divisors (27510538220).

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

12421142100 is a wasteful number, since it uses less digits than its factorization.

12421142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4600446 (or 4600433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 12421142100 its reverse (124112421), we get a palindrome (12545254521).

The spelling of 12421142100 in words is "twelve billion, four hundred twenty-one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4600423 9200846 13801269 18401692 23002115 27602538 41403807 46004230 55205076 69006345 82807614 92008460 115010575 124211421 138012690 165615228 207019035 230021150 248422842 276025380 345031725 414038070 460042300 496845684 621057105 690063450 828076140 1035095175 1242114210 1380126900 2070190350 2484228420 3105285525 4140380700 6210571050 12421142100