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20124112500 = 22335559627
BaseRepresentation
bin10010101111011111…
…011001011001110100
31220221111001211121000
4102233133121121310
5312203233100000
613124521323300
71311460063632
oct225737313164
956844054530
1020124112500
11859759a638
123a97636530
131b8931169b
14d8c992352
157cbad5000
hex4af7d9674

20124112500 has 144 divisors (see below), whose sum is σ = 65213951040. Its totient is φ = 5366340000.

The previous prime is 20124112471. The next prime is 20124112571. The reversal of 20124112500 is 521142102.

20124112500 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 411 + 250 + 0 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307687 + ... + 367313.

It is an arithmetic number, because the mean of its divisors is an integer number (452874660).

Almost surely, 220124112500 is an apocalyptic number.

20124112500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20124112500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32606975520).

20124112500 is an abundant number, since it is smaller than the sum of its proper divisors (45089838540).

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

20124112500 is an equidigital number, since it uses as much as digits as its factorization.

20124112500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59665 (or 59637 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 20124112500 its reverse (521142102), we get a palindrome (20645254602).

The spelling of 20124112500 in words is "twenty billion, one hundred twenty-four million, one hundred twelve thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 125 135 150 180 225 250 270 300 375 450 500 540 625 675 750 900 1125 1250 1350 1500 1875 2250 2500 2700 3125 3375 3750 4500 5625 6250 6750 7500 9375 11250 12500 13500 16875 18750 22500 28125 33750 37500 56250 59627 67500 84375 112500 119254 168750 178881 238508 298135 337500 357762 536643 596270 715524 894405 1073286 1192540 1490675 1609929 1788810 2146572 2683215 2981350 3219858 3577620 4472025 5366430 5962700 6439716 7453375 8049645 8944050 10732860 13416075 14906750 16099290 17888100 22360125 26832150 29813500 32198580 37266875 40248225 44720250 53664300 67080375 74533750 80496450 89440500 111800625 134160750 149067500 160992900 186334375 201241125 223601250 268321500 335401875 372668750 402482250 447202500 559003125 670803750 745337500 804964500 1006205625 1118006250 1341607500 1677009375 2012411250 2236012500 3354018750 4024822500 5031028125 6708037500 10062056250 20124112500