Search a number
-
+
10222100221 = 17235370589
BaseRepresentation
bin10011000010100100…
…01101111011111101
3222101101200111100111
421201102031323331
5131413324201341
64410155030021
7511212263314
oct114122157375
928341614314
1010222100221
114376122213
121b9343b311
13c6ba11b18
146cd85927b
153ec630681
hex26148defd

10222100221 has 6 divisors (see below), whose sum is σ = 10858771130. Its totient is φ = 9620799936.

The previous prime is 10222100191. The next prime is 10222100267. The reversal of 10222100221 is 12200122201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1383468025 + 8838632196 = 37195^2 + 94014^2 .

It is not a de Polignac number, because 10222100221 - 27 = 10222100093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222100281) 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 in 5 ways as a sum of consecutive naturals, for example, 17685006 + ... + 17685583.

Almost surely, 210222100221 is an apocalyptic number.

It is an amenable number.

10222100221 is a deficient number, since it is larger than the sum of its proper divisors (636670909).

10222100221 is an equidigital number, since it uses as much as digits as its factorization.

10222100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35370623 (or 35370606 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10222100221 its reverse (12200122201), we get a palindrome (22422222422).

The spelling of 10222100221 in words is "ten billion, two hundred twenty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 17 289 35370589 601300013 10222100221