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20124192200 = 23527214332
BaseRepresentation
bin10010101111011111…
…101100110111001000
31220221111012212220212
4102233133230313020
5312203243122300
613124523140252
71311460545200
oct225737546710
956844185825
1020124192200
118597644502
123a97674688
131b8933ba48
14d8c9b3400
157cbaed935
hex4af7ecdc8

20124192200 has 108 divisors (see below), whose sum is σ = 54465734115. Its totient is φ = 6894908160.

The previous prime is 20124192181. The next prime is 20124192211. The reversal of 20124192200 is 229142102.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 14304638404 + 5819553796 = 119602^2 + 76286^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=100310.

It is a super-2 number, since 2×201241922002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14042684 + ... + 14044116.

Almost surely, 220124192200 is an apocalyptic number.

20124192200 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 20124192200

20124192200 is an abundant number, since it is smaller than the sum of its proper divisors (34341541915).

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

20124192200 is an equidigital number, since it uses as much as digits as its factorization.

20124192200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 20124192200 in words is "twenty billion, one hundred twenty-four million, one hundred ninety-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1433 1960 2450 2866 4900 5732 7165 9800 10031 11464 14330 20062 28660 35825 40124 50155 57320 70217 71650 80248 100310 140434 143300 200620 250775 280868 286600 351085 401240 501550 561736 702170 1003100 1404340 1755425 2006200 2053489 2808680 3510850 4106978 7021700 8213956 10267445 14043400 14374423 16427912 20534890 28748846 41069780 51337225 57497692 71872115 82139560 100620961 102674450 114995384 143744230 201241922 205348900 287488460 359360575 402483844 410697800 503104805 574976920 718721150 804967688 1006209610 1437442300 2012419220 2515524025 2874884600 4024838440 5031048050 10062096100 20124192200