Search a number
-
+
313132021 is a prime number
BaseRepresentation
bin10010101010100…
…000001111110101
3210211012202101021
4102222200033311
51120130211041
651023301141
710521402226
oct2252401765
9724182337
10313132021
111508337a4
1288a4a7b1
134cb48127
142d83124d
151c754cd1
hex12aa03f5

313132021 has 2 divisors, whose sum is σ = 313132022. Its totient is φ = 313132020.

The previous prime is 313131983. The next prime is 313132033. The reversal of 313132021 is 120231313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 298805796 + 14326225 = 17286^2 + 3785^2 .

It is an emirp because it is prime and its reverse (120231313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313132021 - 29 = 313131509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313131986 and 313132004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313132121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156566010 + 156566011.

It is an arithmetic number, because the mean of its divisors is an integer number (156566011).

Almost surely, 2313132021 is an apocalyptic number.

It is an amenable number.

313132021 is a deficient number, since it is larger than the sum of its proper divisors (1).

313132021 is an equidigital number, since it uses as much as digits as its factorization.

313132021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313132021 is about 17695.5367536563. The cubic root of 313132021 is about 679.0615811283.

Adding to 313132021 its reverse (120231313), we get a palindrome (433363334).

The spelling of 313132021 in words is "three hundred thirteen million, one hundred thirty-two thousand, twenty-one".