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10211311031 is a prime number
BaseRepresentation
bin10011000001010010…
…00011110110110111
3222100122101100100212
421200221003312313
5131403043423111
64405131500035
7511021466045
oct114051036667
928318340325
1010211311031
114370023129
121b8b8b761b
13c69704c9c
146cc24b395
153eb6ed98b
hex260a43db7

10211311031 has 2 divisors, whose sum is σ = 10211311032. Its totient is φ = 10211311030.

The previous prime is 10211311027. The next prime is 10211311043. The reversal of 10211311031 is 13011311201.

It is a happy number.

10211311031 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10211311031 - 22 = 10211311027 is a prime.

It is a super-2 number, since 2×102113110312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10211310997 and 10211311015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10211311051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5105655515 + 5105655516.

It is an arithmetic number, because the mean of its divisors is an integer number (5105655516).

Almost surely, 210211311031 is an apocalyptic number.

10211311031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10211311031 is an equidigital number, since it uses as much as digits as its factorization.

10211311031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10211311031 its reverse (13011311201), we get a palindrome (23222622232).

The spelling of 10211311031 in words is "ten billion, two hundred eleven million, three hundred eleven thousand, thirty-one".