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100222202281 is a prime number
BaseRepresentation
bin101110101010110110…
…1010111000110101001
3100120200122202101110211
41131111231113012221
53120223340433111
6114012541341121
710145412443365
oct1352555270651
9316618671424
10100222202281
113955a902a53
12175102677a1
1395b286b696
144bca7822a5
1529189cc521
hex1755b571a9

100222202281 has 2 divisors, whose sum is σ = 100222202282. Its totient is φ = 100222202280.

The previous prime is 100222202239. The next prime is 100222202287. The reversal of 100222202281 is 182202222001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67852435225 + 32369767056 = 260485^2 + 179916^2 .

It is an emirp because it is prime and its reverse (182202222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100222202281 - 221 = 100220105129 is a prime.

It is a super-2 number, since 2×1002222022812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100222202287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111101140 + 50111101141.

It is an arithmetic number, because the mean of its divisors is an integer number (50111101141).

Almost surely, 2100222202281 is an apocalyptic number.

It is an amenable number.

100222202281 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222202281 is an equidigital number, since it uses as much as digits as its factorization.

100222202281 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 512, while the sum is 22.

Adding to 100222202281 its reverse (182202222001), we get a palindrome (282424424282).

The spelling of 100222202281 in words is "one hundred billion, two hundred twenty-two million, two hundred two thousand, two hundred eighty-one".