Search a number
-
+
406112121211609 is a prime number
BaseRepresentation
bin101110001010110110101100…
…0101110010100101011011001
31222020220221100222122100201001
41130111231120232110223121
5411212220111012232414
63555421155524425001
7151353426644004421
oct13425553056245331
91866827328570631
10406112121211609
111084442021148aa
123966b2bb848161
131457b2936b1337
14723dd08229481
1531e3d95516074
hex1715b58b94ad9

406112121211609 has 2 divisors, whose sum is σ = 406112121211610. Its totient is φ = 406112121211608.

The previous prime is 406112121211481. The next prime is 406112121211631. The reversal of 406112121211609 is 906112121211604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 291443896905984 + 114668224305625 = 17071728^2 + 10708325^2 .

It is a cyclic number.

It is not a de Polignac number, because 406112121211609 - 27 = 406112121211481 is a prime.

It is not a weakly prime, because it can be changed into another prime (406112121211309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203056060605804 + 203056060605805.

It is an arithmetic number, because the mean of its divisors is an integer number (203056060605805).

Almost surely, 2406112121211609 is an apocalyptic number.

It is an amenable number.

406112121211609 is a deficient number, since it is larger than the sum of its proper divisors (1).

406112121211609 is an equidigital number, since it uses as much as digits as its factorization.

406112121211609 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 37.

The spelling of 406112121211609 in words is "four hundred six trillion, one hundred twelve billion, one hundred twenty-one million, two hundred eleven thousand, six hundred nine".