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10022220112033 is a prime number
BaseRepresentation
bin1001000111010111101011…
…0111101010000010100001
31022111010002202021220020201
42101311322313222002201
52303201001322041113
633152051103105201
72053036646234113
oct221657267520241
938433082256221
1010022220112033
113214443a7a078
12115a4592a2201
13579125786bcc
142691142093b3
15125a7aa4ecdd
hex91d7adea0a1

10022220112033 has 2 divisors, whose sum is σ = 10022220112034. Its totient is φ = 10022220112032.

The previous prime is 10022220112031. The next prime is 10022220112103. The reversal of 10022220112033 is 33021102222001.

10022220112033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9967703465889 + 54516646144 = 3157167^2 + 233488^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022220112033 - 21 = 10022220112031 is a prime.

Together with 10022220112031, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 10022220112033.

It is not a weakly prime, because it can be changed into another prime (10022220112031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011110056016 + 5011110056017.

It is an arithmetic number, because the mean of its divisors is an integer number (5011110056017).

Almost surely, 210022220112033 is an apocalyptic number.

It is an amenable number.

10022220112033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022220112033 is an equidigital number, since it uses as much as digits as its factorization.

10022220112033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10022220112033 its reverse (33021102222001), we get a palindrome (43043322334034).

The spelling of 10022220112033 in words is "ten trillion, twenty-two billion, two hundred twenty million, one hundred twelve thousand, thirty-three".