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12400104221 is a prime number
BaseRepresentation
bin10111000110001101…
…01001001100011101
31012000011222120011022
423203012221030131
5200343411313341
65410241133525
7616200101231
oct134306511435
935004876138
1012400104221
11529359891a
1224a092a2a5
13122801169b
14858c0c5c1
154c8954e4b
hex2e31a931d

12400104221 has 2 divisors, whose sum is σ = 12400104222. Its totient is φ = 12400104220.

The previous prime is 12400104179. The next prime is 12400104239. The reversal of 12400104221 is 12240100421.

12400104221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11958516025 + 441588196 = 109355^2 + 21014^2 .

It is a cyclic number.

It is not a de Polignac number, because 12400104221 - 222 = 12395909917 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12400104221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12400104251) by changing a digit.

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 as a sum of consecutive naturals, namely, 6200052110 + 6200052111.

It is an arithmetic number, because the mean of its divisors is an integer number (6200052111).

Almost surely, 212400104221 is an apocalyptic number.

It is an amenable number.

12400104221 is a deficient number, since it is larger than the sum of its proper divisors (1).

12400104221 is an equidigital number, since it uses as much as digits as its factorization.

12400104221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 12400104221 its reverse (12240100421), we get a palindrome (24640204642).

The spelling of 12400104221 in words is "twelve billion, four hundred million, one hundred four thousand, two hundred twenty-one".