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2210113000 = 235317912347
BaseRepresentation
bin1000001110111011…
…1010010111101000
312201000201101002001
42003232322113220
514011242104000
61003150220344
7105524436064
oct20356722750
95630641061
102210113000
11a34607677
125181b46b4
13292b62794
1416d750aa4
15ce06846a
hex83bba5e8

2210113000 has 64 divisors (see below), whose sum is σ = 5200977600. Its totient is φ = 879035200.

The previous prime is 2210112991. The next prime is 2210113019. The reversal of 2210113000 is 3110122.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 172827 + ... + 185173.

It is an arithmetic number, because the mean of its divisors is an integer number (81265275).

Almost surely, 22210113000 is an apocalyptic number.

2210113000 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 2210113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2600488800).

2210113000 is an abundant number, since it is smaller than the sum of its proper divisors (2990864600).

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

2210113000 is a wasteful number, since it uses less digits than its factorization.

2210113000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12547 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2210113000 is about 47011.8389344642. The cubic root of 2210113000 is about 1302.5812618229.

Adding to 2210113000 its reverse (3110122), we get a palindrome (2213223122).

The spelling of 2210113000 in words is "two billion, two hundred ten million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 716 895 1000 1432 1790 3580 4475 7160 8950 12347 17900 22375 24694 35800 44750 49388 61735 89500 98776 123470 179000 246940 308675 493880 617350 1234700 1543375 2210113 2469400 3086750 4420226 6173500 8840452 11050565 12347000 17680904 22101130 44202260 55252825 88404520 110505650 221011300 276264125 442022600 552528250 1105056500 2210113000