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12205002131 = 718119948407
BaseRepresentation
bin10110101110111100…
…11000110110010011
31011111120212100101222
423113132120312103
5144443440032011
65335031315255
7611310543410
oct132736306623
934446770358
1012205002131
1151a3450823
12244751bb2b
1311c678086a
1483ad43107
154b6766ddb
hex2d7798d93

12205002131 has 16 divisors (see below), whose sum is σ = 14096409600. Its totient is φ = 10351139040.

The previous prime is 12205002113. The next prime is 12205002167. The reversal of 12205002131 is 13120050221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 12205002131 - 26 = 12205002067 is a prime.

It is a super-2 number, since 2×122050021312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12205002191) 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, 227930 + ... + 276336.

It is an arithmetic number, because the mean of its divisors is an integer number (881025600).

Almost surely, 212205002131 is an apocalyptic number.

12205002131 is a deficient number, since it is larger than the sum of its proper divisors (1891407469).

12205002131 is a wasteful number, since it uses less digits than its factorization.

12205002131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48794.

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 12205002131 its reverse (13120050221), we get a palindrome (25325052352).

The spelling of 12205002131 in words is "twelve billion, two hundred five million, two thousand, one hundred thirty-one".

Divisors: 1 7 181 199 1267 1393 36019 48407 252133 338849 8761667 9632993 61331669 67430951 1743571733 12205002131