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2261454131365 = 511213287533901
BaseRepresentation
bin100000111010001001001…
…010111001000010100101
322000012012121220212102221
4200322021022321002211
5244022424224200430
64450521522232341
7322245640644562
oct40721112710245
98005177825387
102261454131365
117a20939a0500
123063504b56b1
1313533c662b90
147b6525c7869
153dc5b68d57a
hex20e892b90a5

2261454131365 has 24 divisors (see below), whose sum is σ = 3212328753144. Its totient is φ = 1518178992000.

The previous prime is 2261454131333. The next prime is 2261454131371. The reversal of 2261454131365 is 5631314541622.

It can be written as a sum of positive squares in 4 ways, for example, as 60572100996 + 2200882030369 = 246114^2 + 1483537^2 .

It is not a de Polignac number, because 2261454131365 - 25 = 2261454131333 is a prime.

It is a super-2 number, since 2×22614541313652 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

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, 143759086 + ... + 143774815.

It is an arithmetic number, because the mean of its divisors is an integer number (133847031381).

Almost surely, 22261454131365 is an apocalyptic number.

It is an amenable number.

2261454131365 is a deficient number, since it is larger than the sum of its proper divisors (950874621779).

2261454131365 is a wasteful number, since it uses less digits than its factorization.

2261454131365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287533941 (or 287533930 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

Adding to 2261454131365 its reverse (5631314541622), we get a palindrome (7892768672987).

The spelling of 2261454131365 in words is "two trillion, two hundred sixty-one billion, four hundred fifty-four million, one hundred thirty-one thousand, three hundred sixty-five".

Divisors: 1 5 11 13 55 65 121 143 605 715 1573 7865 287533901 1437669505 3162872911 3737940713 15814364555 18689703565 34791602021 41117347843 173958010105 205586739215 452290826273 2261454131365