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2010244013120 = 26571947233177
BaseRepresentation
bin11101010000001011111…
…000010101110001000000
321010011210100202122011102
4131100023320111301000
5230413434431404440
64135254321433532
7265143502115360
oct35201370256100
97104710678142
102010244013120
117055a337a532
1228572279b8a8
131177469791b5
146d4211b09a0
15374574dab15
hex1d40be15c40

2010244013120 has 112 divisors (see below), whose sum is σ = 5758669061760. Its totient is φ = 652951425024.

The previous prime is 2010244013111. The next prime is 2010244013143. The reversal of 2010244013120 is 213104420102.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2010244013092 and 2010244013101.

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 15 ways as a sum of consecutive naturals, for example, 23574029 + ... + 23659148.

Almost surely, 22010244013120 is an apocalyptic number.

2010244013120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010244013120 is an abundant number, since it is smaller than the sum of its proper divisors (3748425048640).

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

2010244013120 is a wasteful number, since it uses less digits than its factorization.

2010244013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47233220 (or 47233210 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2010244013120 its reverse (213104420102), we get a palindrome (2223348433222).

The spelling of 2010244013120 in words is "two trillion, ten billion, two hundred forty-four million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 760 1064 1120 1216 1330 1520 2128 2240 2660 3040 4256 5320 6080 8512 10640 21280 42560 47233177 94466354 188932708 236165885 330632239 377865416 472331770 661264478 755730832 897430363 944663540 1322528956 1511461664 1653161195 1794860726 1889327080 2645057912 3022923328 3306322390 3589721452 3778654160 4487151815 5290115824 6282012541 6612644780 7179442904 7557308320 8974303630 10580231648 12564025082 13225289560 14358885808 15114616640 17948607260 21160463296 25128050164 26450579120 28717771616 31410062705 35897214520 50256100328 52901158240 57435543232 62820125410 71794429040 100512200656 105802316480 125640250820 143588858080 201024401312 251280501640 287177716160 402048802624 502561003280 1005122006560 2010244013120