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12224402212513 = 173497612707501
BaseRepresentation
bin1011000111100011011100…
…1001101100011010100001
31121021122022121102121211111
42301320313021230122201
53100241033431300023
641555451324143321
72401120040235151
oct261706711543241
947248277377744
1012224402212513
1139933813a5487
121455207697b41
136a89aa44275a
143039428b8761
15162eb883500d
hexb1e3726c6a1

12224402212513 has 16 divisors (see below), whose sum is σ = 12997634101200. Its totient is φ = 11457273600000.

The previous prime is 12224402212511. The next prime is 12224402212541. The reversal of 12224402212513 is 31521220442221.

12224402212513 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 8 ways, for example, as 1563870300304 + 10660531912209 = 1250548^2 + 3265047^2 .

It is a cyclic number.

It is not a de Polignac number, because 12224402212513 - 21 = 12224402212511 is a prime.

It is a super-2 number, since 2×122244022125132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12224402212511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3161263 + ... + 5868763.

It is an arithmetic number, because the mean of its divisors is an integer number (812352131325).

Almost surely, 212224402212513 is an apocalyptic number.

It is an amenable number.

12224402212513 is a deficient number, since it is larger than the sum of its proper divisors (773231888687).

12224402212513 is a wasteful number, since it uses less digits than its factorization.

12224402212513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708628.

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 12224402212513 its reverse (31521220442221), we get a palindrome (43745622654734).

The spelling of 12224402212513 in words is "twelve trillion, two hundred twenty-four billion, four hundred two million, two hundred twelve thousand, five hundred thirteen".

Divisors: 1 17 349 761 5933 12937 265589 2707501 4515013 46027517 944917849 2060408261 16063603433 35026940437 719082483089 12224402212513