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10213211117 is a prime number
BaseRepresentation
bin10011000001100000…
…10011101111101101
3222100202221212210102
421200300103233231
5131404040223432
64405240320445
7511043601464
oct114060235755
928322855712
1010213211117
11437110074a
121b90473125
13c69c1bab5
146cc5c39db
153eb976962
hex260c13bed

10213211117 has 2 divisors, whose sum is σ = 10213211118. Its totient is φ = 10213211116.

The previous prime is 10213211089. The next prime is 10213211137. The reversal of 10213211117 is 71111231201.

10213211117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (10213211137) can be obtained adding 10213211117 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8800503721 + 1412707396 = 93811^2 + 37586^2 .

It is a cyclic number.

It is not a de Polignac number, because 10213211117 - 210 = 10213210093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10213211137) 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, 5106605558 + 5106605559.

It is an arithmetic number, because the mean of its divisors is an integer number (5106605559).

Almost surely, 210213211117 is an apocalyptic number.

It is an amenable number.

10213211117 is a deficient number, since it is larger than the sum of its proper divisors (1).

10213211117 is an equidigital number, since it uses as much as digits as its factorization.

10213211117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 10213211117 its reverse (71111231201), we get a palindrome (81324442318).

The spelling of 10213211117 in words is "ten billion, two hundred thirteen million, two hundred eleven thousand, one hundred seventeen".