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222101131081 is a prime number
BaseRepresentation
bin1100111011011001000…
…0100100111101001001
3210020021121110110201211
43032312100210331021
512114330342143311
6250010514013121
722021605315334
oct3166620447511
9706247413654
10222101131081
1186213331095
12370652771a1
1317c370bc72b
14aa6d46961b
155b9d8cc821
hex33b6424f49

222101131081 has 2 divisors, whose sum is σ = 222101131082. Its totient is φ = 222101131080.

The previous prime is 222101130997. The next prime is 222101131093. The reversal of 222101131081 is 180131101222.

222101131081 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., 222014361856 + 86769225 = 471184^2 + 9315^2 .

It is a cyclic number.

It is not a de Polignac number, because 222101131081 - 221 = 222099033929 is a prime.

It is a super-2 number, since 2×2221011310812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (222101131181) 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, 111050565540 + 111050565541.

It is an arithmetic number, because the mean of its divisors is an integer number (111050565541).

Almost surely, 2222101131081 is an apocalyptic number.

It is an amenable number.

222101131081 is a deficient number, since it is larger than the sum of its proper divisors (1).

222101131081 is an equidigital number, since it uses as much as digits as its factorization.

222101131081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 22.

The spelling of 222101131081 in words is "two hundred twenty-two billion, one hundred one million, one hundred thirty-one thousand, eighty-one".