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10222603033 is a prime number
BaseRepresentation
bin10011000010101000…
…01000101100011001
3222101102122001002011
421201110020230121
5131413441244113
64410213505521
7511216456246
oct114124105431
928342561064
1010222603033
114376435a65
121b936422a1
13c6bb59946
146cd94a5cd
153ec6ce63d
hex261508b19

10222603033 has 2 divisors, whose sum is σ = 10222603034. Its totient is φ = 10222603032.

The previous prime is 10222602989. The next prime is 10222603049. The reversal of 10222603033 is 33030622201.

10222603033 is digitally balanced in base 3, 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., 7234012809 + 2988590224 = 85053^2 + 54668^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222603033 - 213 = 10222594841 is a prime.

It is a super-2 number, since 2×102226030332 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222602995 and 10222603013.

It is not a weakly prime, because it can be changed into another prime (10222603093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111301516 + 5111301517.

It is an arithmetic number, because the mean of its divisors is an integer number (5111301517).

Almost surely, 210222603033 is an apocalyptic number.

It is an amenable number.

10222603033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222603033 is an equidigital number, since it uses as much as digits as its factorization.

10222603033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

The spelling of 10222603033 in words is "ten billion, two hundred twenty-two million, six hundred three thousand, thirty-three".