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20114004120 = 2335723420749
BaseRepresentation
bin10010101110111000…
…110101100010011000
31220220210001021111120
4102232320311202120
5312143141112440
613123520525240
71311305133300
oct225670654230
956823037446
1020114004120
118591916001
123a94180820
131b871b26b2
14d8b4c0600
157cac89dd0
hex4aee35898

20114004120 has 96 divisors (see below), whose sum is σ = 70193790000. Its totient is φ = 4597485312.

The previous prime is 20114004101. The next prime is 20114004187. The reversal of 20114004120 is 2140041102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20114004120.

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, 1704495 + ... + 1716254.

Almost surely, 220114004120 is an apocalyptic number.

20114004120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20114004120 is an abundant number, since it is smaller than the sum of its proper divisors (50079785880).

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

20114004120 is a wasteful number, since it uses less digits than its factorization.

20114004120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420777 (or 3420766 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20114004120 its reverse (2140041102), we get a palindrome (22254045222).

The spelling of 20114004120 in words is "twenty billion, one hundred fourteen million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 3420749 6841498 10262247 13682996 17103745 20524494 23945243 27365992 34207490 41048988 47890486 51311235 68414980 71835729 82097976 95780972 102622470 119726215 136829960 143671458 167616701 191561944 205244940 239452430 287342916 335233402 359178645 410489880 478904860 502850103 574685832 670466804 718357290 838083505 957809720 1005700206 1340933608 1436714580 1676167010 2011400412 2514250515 2873429160 3352334020 4022800824 5028501030 6704668040 10057002060 20114004120