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2110002120 = 2332546312659
BaseRepresentation
bin111110111000100…
…0001001111001000
312110001100012202200
41331301001033020
513310130031440
6545212400200
7103200502452
oct17561011710
95401305680
102110002120
1199304a906
124aa776060
132781b0685
141603312d2
15c5390c30
hex7dc413c8

2110002120 has 96 divisors (see below), whose sum is σ = 6872860800. Its totient is φ = 561407616.

The previous prime is 2110002119. The next prime is 2110002127. The reversal of 2110002120 is 212000112.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2110002127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160351 + ... + 173009.

It is an arithmetic number, because the mean of its divisors is an integer number (71592300).

Almost surely, 22110002120 is an apocalyptic number.

2110002120 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 2110002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436430400).

2110002120 is an abundant number, since it is smaller than the sum of its proper divisors (4762858680).

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

2110002120 is a wasteful number, since it uses less digits than its factorization.

2110002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13139 (or 13132 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2110002120 is about 45934.7593876359. The cubic root of 2110002120 is about 1282.6090419467.

Adding to 2110002120 its reverse (212000112), we get a palindrome (2322002232).

The spelling of 2110002120 in words is "two billion, one hundred ten million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 463 926 1389 1852 2315 2778 3704 4167 4630 5556 6945 8334 9260 11112 12659 13890 16668 18520 20835 25318 27780 33336 37977 41670 50636 55560 63295 75954 83340 101272 113931 126590 151908 166680 189885 227862 253180 303816 379770 455724 506360 569655 759540 911448 1139310 1519080 2278620 4557240 5861117 11722234 17583351 23444468 29305585 35166702 46888936 52750053 58611170 70333404 87916755 105500106 117222340 140666808 175833510 211000212 234444680 263750265 351667020 422000424 527500530 703334040 1055001060 2110002120