Search a number
-
+
10301122310233 is a prime number
BaseRepresentation
bin1001010111100110101010…
…1111000111000001011001
31100110202222220222112210011
42111321222233013001121
52322233144302411413
633524134213121521
72112142261633306
oct225715257070131
940422886875704
1010301122310233
113311754aa3637
1211a45150292a1
13599512649911
1427881133a0ad
1512ce50de333d
hex95e6abc7059

10301122310233 has 2 divisors, whose sum is σ = 10301122310234. Its totient is φ = 10301122310232.

The previous prime is 10301122310221. The next prime is 10301122310239. The reversal of 10301122310233 is 33201322110301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6803818378569 + 3497303931664 = 2608413^2 + 1870108^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10301122310233 is a prime.

It is a super-2 number, since 2×103011223102332 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10301122310239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150561155116 + 5150561155117.

It is an arithmetic number, because the mean of its divisors is an integer number (5150561155117).

Almost surely, 210301122310233 is an apocalyptic number.

It is an amenable number.

10301122310233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301122310233 is an equidigital number, since it uses as much as digits as its factorization.

10301122310233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10301122310233 its reverse (33201322110301), we get a palindrome (43502444420534).

The spelling of 10301122310233 in words is "ten trillion, three hundred one billion, one hundred twenty-two million, three hundred ten thousand, two hundred thirty-three".