Search a number
-
+
401212993 is a prime number
BaseRepresentation
bin10111111010100…
…000011001000001
31000221221201202111
4113322200121001
51310202303433
6103451215321
712641153116
oct2772403101
91027851674
10401212993
11196524295
12b2447541
136517774c
143b3dc90d
1525352dcd
hex17ea0641

401212993 has 2 divisors, whose sum is σ = 401212994. Its totient is φ = 401212992.

The previous prime is 401212969. The next prime is 401213023. The reversal of 401212993 is 399212104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 384826689 + 16386304 = 19617^2 + 4048^2 .

It is a cyclic number.

It is not a de Polignac number, because 401212993 - 25 = 401212961 is a prime.

It is equal to p21397351 and since 401212993 and 21397351 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (401212963) 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, 200606496 + 200606497.

It is an arithmetic number, because the mean of its divisors is an integer number (200606497).

Almost surely, 2401212993 is an apocalyptic number.

It is an amenable number.

401212993 is a deficient number, since it is larger than the sum of its proper divisors (1).

401212993 is an equidigital number, since it uses as much as digits as its factorization.

401212993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 401212993 is about 20030.3018699170. The cubic root of 401212993 is about 737.5503322156.

The spelling of 401212993 in words is "four hundred one million, two hundred twelve thousand, nine hundred ninety-three".