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2261130524200 = 235211305652621
BaseRepresentation
bin100000111001110101111…
…000011011011000101000
322000011101001222220212101
4200321311320123120220
5244021243403233300
64450425442223144
7322234631223502
oct40716570333050
98004331886771
102261130524200
117a1a38262669
12306280054ab4
131352ba5bab52
147b62162ad72
153dc3d069b6a
hex20e75e1b628

2261130524200 has 24 divisors (see below), whose sum is σ = 5257128469230. Its totient is φ = 904452209600.

The previous prime is 2261130524197. The next prime is 2261130524209. The reversal of 2261130524200 is 24250311622.

It can be written as a sum of positive squares in 3 ways, for example, as 1748683574884 + 512446949316 = 1322378^2 + 715854^2 .

It is a super-2 number, since 2×22611305242002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261130524209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5652826111 + ... + 5652826510.

Almost surely, 22261130524200 is an apocalyptic number.

2261130524200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2261130524200 is an abundant number, since it is smaller than the sum of its proper divisors (2995997945030).

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

2261130524200 is a wasteful number, since it uses less digits than its factorization.

2261130524200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11305652637 (or 11305652628 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 2261130524200 its reverse (24250311622), we get a palindrome (2285380835822).

The spelling of 2261130524200 in words is "two trillion, two hundred sixty-one billion, one hundred thirty million, five hundred twenty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 11305652621 22611305242 45222610484 56528263105 90445220968 113056526210 226113052420 282641315525 452226104840 565282631050 1130565262100 2261130524200