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12204432141 = 3111721279693
BaseRepresentation
bin10110101110111000…
…01101101100001101
31011111112210101112020
423113130031230031
5144443313312031
65335011200353
7611302650546
oct132734155415
934445711466
1012204432141
1151a30a1560
1224472a60b9
1311c66112a5
1483ac354cd
154b66a3096
hex2d770db0d

12204432141 has 24 divisors (see below), whose sum is σ = 18857570784. Its totient is φ = 6961524480.

The previous prime is 12204432131. The next prime is 12204432151. The reversal of 12204432141 is 14123440221.

It is an interprime number because it is at equal distance from previous prime (12204432131) and next prime (12204432151).

It is not a de Polignac number, because 12204432141 - 210 = 12204431117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12204432131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 630310 + ... + 649383.

It is an arithmetic number, because the mean of its divisors is an integer number (785732116).

Almost surely, 212204432141 is an apocalyptic number.

12204432141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12204432141 is a deficient number, since it is larger than the sum of its proper divisors (6653138643).

12204432141 is a wasteful number, since it uses less digits than its factorization.

12204432141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279741 (or 1279724 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 12204432141 its reverse (14123440221), we get a palindrome (26327872362).

The spelling of 12204432141 in words is "twelve billion, two hundred four million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 11 17 33 51 187 289 561 867 3179 9537 1279693 3839079 14076623 21754781 42229869 65264343 239302591 369831277 717907773 1109493831 4068144047 12204432141