Search a number
-
+
2210101300 = 2252112182653
BaseRepresentation
bin1000001110111011…
…0111100000110100
312201000200210000201
42003232313200310
514011241220200
61003150050244
7105524360011
oct20356674064
95630623021
102210101300
11a345a9900
125181a9984
13292b5a364
1416d74a708
15ce064c6a
hex83bb7834

2210101300 has 54 divisors (see below), whose sum is σ = 5271577094. Its totient is φ = 803668800.

The previous prime is 2210101273. The next prime is 2210101307. The reversal of 2210101300 is 31010122.

2210101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 707453604 + 1502647696 = 26598^2 + 38764^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2210101307) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79227 + ... + 103426.

Almost surely, 22210101300 is an apocalyptic number.

2210101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2210101300 is an abundant number, since it is smaller than the sum of its proper divisors (3061475794).

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

2210101300 is a wasteful number, since it uses less digits than its factorization.

2210101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182689 (or 182671 counting only the distinct ones).

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

The square root of 2210101300 is about 47011.7144975590. The cubic root of 2210101300 is about 1302.5789632636.

Adding to 2210101300 its reverse (31010122), we get a palindrome (2241111422).

The spelling of 2210101300 in words is "two billion, two hundred ten million, one hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 182653 365306 730612 913265 1826530 2009183 3653060 4018366 4566325 8036732 9132650 10045915 18265300 20091830 22101013 40183660 44202026 50229575 88404052 100459150 110505065 200918300 221010130 442020260 552525325 1105050650 2210101300