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222002131097 is a prime number
BaseRepresentation
bin1100111011000001011…
…0111011000010011001
3210020000201011202021202
43032300112323002121
512114130021143342
6245553020043545
722016263656545
oct3166026730231
9706021152252
10222002131097
1186172462a1a
12370380935b5
1317c1c739166
14aa60258a25
155b94d74332
hex33b05bb099

222002131097 has 2 divisors, whose sum is σ = 222002131098. Its totient is φ = 222002131096.

The previous prime is 222002131049. The next prime is 222002131103. The reversal of 222002131097 is 790131200222.

222002131097 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., 148468419856 + 73533711241 = 385316^2 + 271171^2 .

It is a cyclic number.

It is not a de Polignac number, because 222002131097 - 220 = 222001082521 is a prime.

It is not a weakly prime, because it can be changed into another prime (222002131297) 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, 111001065548 + 111001065549.

It is an arithmetic number, because the mean of its divisors is an integer number (111001065549).

Almost surely, 2222002131097 is an apocalyptic number.

It is an amenable number.

222002131097 is a deficient number, since it is larger than the sum of its proper divisors (1).

222002131097 is an equidigital number, since it uses as much as digits as its factorization.

222002131097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The spelling of 222002131097 in words is "two hundred twenty-two billion, two million, one hundred thirty-one thousand, ninety-seven".