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12105619900 = 22521123478483
BaseRepresentation
bin10110100011000110…
…10001100110111100
31011020122212012121121
423101203101212330
5144243014314100
65321121240324
7605663033323
oct132143214674
934218765547
1012105619900
115152341450
12241a1930a4
1311abcc52ca
1482ba730ba
154acb8551a
hex2d18d19bc

12105619900 has 72 divisors (see below), whose sum is σ = 29903336064. Its totient is φ = 4210641600.

The previous prime is 12105619873. The next prime is 12105619921. The reversal of 12105619900 is 991650121.

It is a happy number.

12105619900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 213942 + ... + 264541.

It is an arithmetic number, because the mean of its divisors is an integer number (415324112).

Almost surely, 212105619900 is an apocalyptic number.

12105619900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12105619900 is an abundant number, since it is smaller than the sum of its proper divisors (17797716164).

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

12105619900 is a wasteful number, since it uses less digits than its factorization.

12105619900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478531 (or 478524 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 34.

The spelling of 12105619900 in words is "twelve billion, one hundred five million, six hundred nineteen thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 23 25 44 46 50 55 92 100 110 115 220 230 253 275 460 506 550 575 1012 1100 1150 1265 2300 2530 5060 6325 12650 25300 478483 956966 1913932 2392415 4784830 5263313 9569660 10526626 11005109 11962075 21053252 22010218 23924150 26316565 44020436 47848300 52633130 55025545 105266260 110051090 121056199 131582825 220102180 242112398 263165650 275127725 484224796 526331300 550255450 605280995 1100510900 1210561990 2421123980 3026404975 6052809950 12105619900