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10222211137 is a prime number
BaseRepresentation
bin10011000010100101…
…01001000001000001
3222101101220010111111
421201102221001001
5131413341224022
64410201243321
7511213234555
oct114122510101
928341803444
1010222211137
114376198586
121b93493541
13c6ba50458
146cd887865
153ec653477
hex2614a9041

10222211137 has 2 divisors, whose sum is σ = 10222211138. Its totient is φ = 10222211136.

The previous prime is 10222211117. The next prime is 10222211159. The reversal of 10222211137 is 73111222201.

It is an a-pointer prime, because the next prime (10222211159) can be obtained adding 10222211137 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8405405761 + 1816805376 = 91681^2 + 42624^2 .

It is an emirp because it is prime and its reverse (73111222201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10222211137 - 27 = 10222211009 is a prime.

It is not a weakly prime, because it can be changed into another prime (10222211117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5111105568 + 5111105569.

It is an arithmetic number, because the mean of its divisors is an integer number (5111105569).

Almost surely, 210222211137 is an apocalyptic number.

It is an amenable number.

10222211137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10222211137 is an equidigital number, since it uses as much as digits as its factorization.

10222211137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 10222211137 its reverse (73111222201), we get a palindrome (83333433338).

The spelling of 10222211137 in words is "ten billion, two hundred twenty-two million, two hundred eleven thousand, one hundred thirty-seven".