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2210011300 = 2252710131259
BaseRepresentation
bin1000001110111010…
…0001100010100100
312201000112012120101
42003232201202210
514011230330200
61003144113444
7105523533430
oct20356414244
95630465511
102210011300
11a34548222
12518165884
13292b283c3
1416d7259c0
15ce04826a
hex83ba18a4

2210011300 has 72 divisors (see below), whose sum is σ = 5535270720. Its totient is φ = 750192000.

The previous prime is 2210011283. The next prime is 2210011319. The reversal of 2210011300 is 31100122.

It is a super-2 number, since 2×22100113002 = 9768299892255380000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55071 + ... + 86329.

It is an arithmetic number, because the mean of its divisors is an integer number (76878760).

Almost surely, 22210011300 is an apocalyptic number.

2210011300 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 2210011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767635360).

2210011300 is an abundant number, since it is smaller than the sum of its proper divisors (3325259420).

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

2210011300 is a wasteful number, since it uses less digits than its factorization.

2210011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31381 (or 31374 counting only the distinct ones).

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

The square root of 2210011300 is about 47010.7572795844. The cubic root of 2210011300 is about 1302.5612817666.

Adding to 2210011300 its reverse (31100122), we get a palindrome (2241111422).

The spelling of 2210011300 in words is "two billion, two hundred ten million, eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 5050 7070 10100 14140 17675 31259 35350 62518 70700 125036 156295 218813 312590 437626 625180 781475 875252 1094065 1562950 2188130 3125900 3157159 4376260 5470325 6314318 10940650 12628636 15785795 21881300 22100113 31571590 44200226 63143180 78928975 88400452 110500565 157857950 221001130 315715900 442002260 552502825 1105005650 2210011300