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2110113000 = 233253234457
BaseRepresentation
bin111110111000101…
…1100010011101000
312110001112211212100
41331301130103220
513310142104000
6545215013400
7103201443642
oct17561342350
95401484770
102110113000
11993116146
124aa80a260
1327821bc98
1416035d892
15c53b3a00
hex7dc5c4e8

2110113000 has 96 divisors (see below), whose sum is σ = 7132212360. Its totient is φ = 562694400.

The previous prime is 2110112999. The next prime is 2110113013. The reversal of 2110113000 is 3110112.

It can be written as a sum of positive squares in 4 ways, for example, as 332478756 + 1777634244 = 18234^2 + 42162^2 .

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

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, 108229 + ... + 126228.

Almost surely, 22110113000 is an apocalyptic number.

2110113000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2110113000 is an abundant number, since it is smaller than the sum of its proper divisors (5022099360).

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

2110113000 is a wasteful number, since it uses less digits than its factorization.

2110113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234484 (or 234467 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 2110113000 is about 45935.9663009281. The cubic root of 2110113000 is about 1282.6315084643.

Adding to 2110113000 its reverse (3110112), we get a palindrome (2113223112).

The spelling of 2110113000 in words is "two billion, one hundred ten million, one hundred thirteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 234457 468914 703371 937828 1172285 1406742 1875656 2110113 2344570 2813484 3516855 4220226 4689140 5626968 5861425 7033710 8440452 9378280 10550565 11722850 14067420 16880904 17584275 21101130 23445700 28134840 29307125 35168550 42202260 46891400 52752825 58614250 70337100 84404520 87921375 105505650 117228500 140674200 175842750 211011300 234457000 263764125 351685500 422022600 527528250 703371000 1055056500 2110113000