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10223313029 is a prime number
BaseRepresentation
bin10011000010101101…
…10110000010000101
3222101110222010000022
421201112312002011
5131414132004104
64410241024525
7511225504226
oct114126660205
928343863008
1010223313029
114376880436
121b93925145
13c6c047b67
146cda9324d
153ec7bebbe
hex2615b6085

10223313029 has 2 divisors, whose sum is σ = 10223313030. Its totient is φ = 10223313028.

The previous prime is 10223312971. The next prime is 10223313041. The reversal of 10223313029 is 92031332201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8340620929 + 1882692100 = 91327^2 + 43390^2 .

It is an emirp because it is prime and its reverse (92031332201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10223313029 - 212 = 10223308933 is a prime.

It is a super-2 number, since 2×102233130292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10223312989 and 10223313007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10223313049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111656514 + 5111656515.

It is an arithmetic number, because the mean of its divisors is an integer number (5111656515).

Almost surely, 210223313029 is an apocalyptic number.

It is an amenable number.

10223313029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223313029 is an equidigital number, since it uses as much as digits as its factorization.

10223313029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 10223313029 in words is "ten billion, two hundred twenty-three million, three hundred thirteen thousand, twenty-nine".