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10377313 is a prime number
BaseRepresentation
bin100111100101…
…100001100001
3201112012222221
4213211201201
510124033223
61010231041
7154130362
oct47454141
921465887
1010377313
1159486a1
123585481
1321c452b
141541b69
15d9eb5d
hex9e5861

10377313 has 2 divisors, whose sum is σ = 10377314. Its totient is φ = 10377312.

The previous prime is 10377307. The next prime is 10377317. The reversal of 10377313 is 31377301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10349089 + 28224 = 3217^2 + 168^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10377313 is a prime.

It is not a weakly prime, because it can be changed into another prime (10377317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5188656 + 5188657.

It is an arithmetic number, because the mean of its divisors is an integer number (5188657).

Almost surely, 210377313 is an apocalyptic number.

It is an amenable number.

10377313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10377313 is an equidigital number, since it uses as much as digits as its factorization.

10377313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1323, while the sum is 25.

The square root of 10377313 is about 3221.3837089052. The cubic root of 10377313 is about 218.1197403515.

The spelling of 10377313 in words is "ten million, three hundred seventy-seven thousand, three hundred thirteen".