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20340896100 = 22352717569773
BaseRepresentation
bin10010111100011010…
…010111000101100100
31221111120222120210020
4102330122113011210
5313124232133400
613202223555140
71320031523040
oct227432270544
957446876706
1020340896100
1186989a6338
123b3815bab0
131bc21c40c5
14dad6a3020
157e0b572a0
hex4bc697164

20340896100 has 144 divisors (see below), whose sum is σ = 71217191808. Its totient is φ = 4375848960.

The previous prime is 20340896077. The next prime is 20340896137. The reversal of 20340896100 is 169804302.

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 47 ways as a sum of consecutive naturals, for example, 249187 + ... + 320586.

It is an arithmetic number, because the mean of its divisors is an integer number (494563832).

Almost surely, 220340896100 is an apocalyptic number.

20340896100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20340896100 is an abundant number, since it is smaller than the sum of its proper divisors (50876295708).

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

20340896100 is a wasteful number, since it uses less digits than its factorization.

20340896100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569814 (or 569807 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 20340896100 in words is "twenty billion, three hundred forty million, eight hundred ninety-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 25 28 30 34 35 42 50 51 60 68 70 75 84 85 100 102 105 119 140 150 170 175 204 210 238 255 300 340 350 357 420 425 476 510 525 595 700 714 850 1020 1050 1190 1275 1428 1700 1785 2100 2380 2550 2975 3570 5100 5950 7140 8925 11900 17850 35700 569773 1139546 1709319 2279092 2848865 3418638 3988411 5697730 6837276 7976822 8546595 9686141 11395460 11965233 14244325 15953644 17093190 19372282 19942055 23930466 28488650 29058423 34186380 38744564 39884110 42732975 47860932 48430705 56977300 58116846 59826165 67802987 79768220 85465950 96861410 99710275 116233692 119652330 135605974 145292115 170931900 193722820 199420550 203408961 239304660 242153525 271211948 290584230 299130825 339014935 398841100 406817922 484307050 581168460 598261650 678029870 726460575 813635844 968614100 1017044805 1196523300 1356059740 1452921150 1695074675 2034089610 2905842300 3390149350 4068179220 5085224025 6780298700 10170448050 20340896100