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10223131201 is a prime number
BaseRepresentation
bin10011000010101100…
…01001101001000001
3222101110121212120221
421201112021221001
5131414110144301
64410233103041
7511224116143
oct114126115101
928343555527
1010223131201
114376766868
121b93857a81
13c6bcb317a
146cda46c93
153ec785da1
hex261589a41

10223131201 has 2 divisors, whose sum is σ = 10223131202. Its totient is φ = 10223131200.

The previous prime is 10223131181. The next prime is 10223131213. The reversal of 10223131201 is 10213132201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9241938225 + 981192976 = 96135^2 + 31324^2 .

It is an emirp because it is prime and its reverse (10213132201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10223131201 - 215 = 10223098433 is a prime.

It is not a weakly prime, because it can be changed into another prime (10223131291) 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, 5111565600 + 5111565601.

It is an arithmetic number, because the mean of its divisors is an integer number (5111565601).

Almost surely, 210223131201 is an apocalyptic number.

It is an amenable number.

10223131201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10223131201 is an equidigital number, since it uses as much as digits as its factorization.

10223131201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10223131201 its reverse (10213132201), we get a palindrome (20436263402).

The spelling of 10223131201 in words is "ten billion, two hundred twenty-three million, one hundred thirty-one thousand, two hundred one".