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10222032181 is a prime number
BaseRepresentation
bin10011000010100011…
…11101010100110101
3222101101120001000111
421201101331110311
5131413320012211
64410153343021
7511211561044
oct114121752465
928341501014
1010222032181
114376086089
121b93407a71
13c6b9b9b6a
146cd83c55b
153ec61a421
hex26147d535

10222032181 has 2 divisors, whose sum is σ = 10222032182. Its totient is φ = 10222032180.

The previous prime is 10222032131. The next prime is 10222032229. The reversal of 10222032181 is 18123022201.

10222032181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9899255025 + 322777156 = 99495^2 + 17966^2 .

It is a cyclic number.

It is not a de Polignac number, because 10222032181 - 29 = 10222031669 is a prime.

It is a super-2 number, since 2×102220321812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10222032131) 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, 5111016090 + 5111016091.

It is an arithmetic number, because the mean of its divisors is an integer number (5111016091).

Almost surely, 210222032181 is an apocalyptic number.

It is an amenable number.

10222032181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222032181 is an equidigital number, since it uses as much as digits as its factorization.

10222032181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 10222032181 its reverse (18123022201), we get a palindrome (28345054382).

The spelling of 10222032181 in words is "ten billion, two hundred twenty-two million, thirty-two thousand, one hundred eighty-one".