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20114302120 = 23511194795023
BaseRepresentation
bin10010101110111001…
…111110010010101000
31220220210121102021121
4102232321332102220
5312143230131440
613123531145024
71311310514143
oct225671762250
956823542247
1020114302120
118591aa9990
123a942a5174
131b87288223
14d8b55b05a
157cace834a
hex4aee7e4a8

20114302120 has 128 divisors (see below), whose sum is σ = 52088832000. Its totient is φ = 6913486080.

The previous prime is 20114302057. The next prime is 20114302133. The reversal of 20114302120 is 2120341102.

It is a junction number, because it is equal to n+sod(n) for n = 20114302094 and 20114302103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4001929 + ... + 4006951.

It is an arithmetic number, because the mean of its divisors is an integer number (406944000).

Almost surely, 220114302120 is an apocalyptic number.

20114302120 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 20114302120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26044416000).

20114302120 is an abundant number, since it is smaller than the sum of its proper divisors (31974529880).

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

20114302120 is a wasteful number, since it uses less digits than its factorization.

20114302120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5539 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 20114302120 its reverse (2120341102), we get a palindrome (22234643222).

The spelling of 20114302120 in words is "twenty billion, one hundred fourteen million, three hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 479 760 836 958 1045 1672 1916 2090 2395 3832 4180 4790 5023 5269 8360 9101 9580 10046 10538 18202 19160 20092 21076 25115 26345 36404 40184 42152 45505 50230 52690 55253 72808 91010 95437 100111 100460 105380 110506 182020 190874 200222 200920 210760 221012 276265 364040 381748 400444 442024 477185 500555 552530 763496 800888 954370 1001110 1049807 1105060 1908740 2002220 2099614 2210120 2406017 3817480 4004440 4199228 4812034 5249035 8398456 9624068 10498070 12030085 19248136 20996140 24060170 26466187 41992280 45714323 48120340 52932374 91428646 96240680 105864748 132330935 182857292 211729496 228571615 264661870 365714584 457143230 502857553 529323740 914286460 1005715106 1058647480 1828572920 2011430212 2514287765 4022860424 5028575530 10057151060 20114302120