Search a number
-
+
12423632401 is a prime number
BaseRepresentation
bin10111001001000000…
…11001011000010001
31012001211020220202101
423210200121120101
5200420422214101
65412441320401
7616604063425
oct134440313021
935054226671
1012423632401
1152a58a89a4
1224a8796101
13122cb5b99b
1485bdb4b85
154caa51401
hex2e4819611

12423632401 has 2 divisors, whose sum is σ = 12423632402. Its totient is φ = 12423632400.

The previous prime is 12423632387. The next prime is 12423632407. The reversal of 12423632401 is 10423632421.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10760950225 + 1662682176 = 103735^2 + 40776^2 .

It is an emirp because it is prime and its reverse (10423632421) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 12423632401 - 221 = 12421535249 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12423632401.

It is not a weakly prime, because it can be changed into another prime (12423632407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6211816200 + 6211816201.

It is an arithmetic number, because the mean of its divisors is an integer number (6211816201).

Almost surely, 212423632401 is an apocalyptic number.

It is an amenable number.

12423632401 is a deficient number, since it is larger than the sum of its proper divisors (1).

12423632401 is an equidigital number, since it uses as much as digits as its factorization.

12423632401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 12423632401 in words is "twelve billion, four hundred twenty-three million, six hundred thirty-two thousand, four hundred one".