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23225263001 is a prime number
BaseRepresentation
bin10101101000010101…
…010110001110011001
32012221121102121022222
4111220111112032121
5340031131404001
614400341553425
71451354323013
oct255025261631
965847377288
1023225263001
119939067936
124602115875
132261950295
1411a47a91b3
1590dea961b
hex568556399

23225263001 has 2 divisors, whose sum is σ = 23225263002. Its totient is φ = 23225263000.

The previous prime is 23225262923. The next prime is 23225263003. The reversal of 23225263001 is 10036252232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23142015625 + 83247376 = 152125^2 + 9124^2 .

It is a cyclic number.

It is not a de Polignac number, because 23225263001 - 222 = 23221068697 is a prime.

Together with 23225263003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (23225263003) 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, 11612631500 + 11612631501.

It is an arithmetic number, because the mean of its divisors is an integer number (11612631501).

Almost surely, 223225263001 is an apocalyptic number.

It is an amenable number.

23225263001 is a deficient number, since it is larger than the sum of its proper divisors (1).

23225263001 is an equidigital number, since it uses as much as digits as its factorization.

23225263001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 26.

The spelling of 23225263001 in words is "twenty-three billion, two hundred twenty-five million, two hundred sixty-three thousand, one".