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2223131003273 is a prime number
BaseRepresentation
bin100000010110011100111…
…011110000100110001001
321212112021211012020202102
4200112130323300212021
5242410433014101043
64421143044443145
7316421154511265
oct40263473604611
97775254166672
102223131003273
11787908549114
122baa360a94b5
13131842b1ca1b
1479858a010a5
153cc66edc6b8
hex2059cef0989

2223131003273 has 2 divisors, whose sum is σ = 2223131003274. Its totient is φ = 2223131003272.

The previous prime is 2223131003263. The next prime is 2223131003321. The reversal of 2223131003273 is 3723001313222.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2018865873424 + 204265129849 = 1420868^2 + 451957^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223131003273 - 24 = 2223131003257 is a prime.

It is a super-2 number, since 2×22231310032732 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2223131003263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1111565501636 + 1111565501637.

It is an arithmetic number, because the mean of its divisors is an integer number (1111565501637).

Almost surely, 22223131003273 is an apocalyptic number.

It is an amenable number.

2223131003273 is a deficient number, since it is larger than the sum of its proper divisors (1).

2223131003273 is an equidigital number, since it uses as much as digits as its factorization.

2223131003273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 29.

Adding to 2223131003273 its reverse (3723001313222), we get a palindrome (5946132316495).

The spelling of 2223131003273 in words is "two trillion, two hundred twenty-three billion, one hundred thirty-one million, three thousand, two hundred seventy-three".