Search a number
-
+
10022112212213 is a prime number
BaseRepresentation
bin1001000111010111010001…
…1100000011010011110101
31022111002211020021000112002
42101311310130003103311
52303200241211242323
633152032250305045
72053034166140303
oct221656434032365
938432736230462
1010022112212213
113214399082372
12115a429128185
1357910930876a
14269103b5d273
15125a71339828
hex91d747034f5

10022112212213 has 2 divisors, whose sum is σ = 10022112212214. Its totient is φ = 10022112212212.

The previous prime is 10022112212197. The next prime is 10022112212219. The reversal of 10022112212213 is 31221221122001.

10022112212213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8883010671844 + 1139101540369 = 2980438^2 + 1067287^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022112212213 - 24 = 10022112212197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10022112212219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011056106106 + 5011056106107.

It is an arithmetic number, because the mean of its divisors is an integer number (5011056106107).

Almost surely, 210022112212213 is an apocalyptic number.

It is an amenable number.

10022112212213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022112212213 is an equidigital number, since it uses as much as digits as its factorization.

10022112212213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10022112212213 its reverse (31221221122001), we get a palindrome (41243333334214).

The spelling of 10022112212213 in words is "ten trillion, twenty-two billion, one hundred twelve million, two hundred twelve thousand, two hundred thirteen".