Search a number
-
+
10222120201 = 611609104149
BaseRepresentation
bin10011000010100100…
…10010110100001001
3222101101201111202111
421201102102310021
5131413330321301
64410155302321
7511212405466
oct114122226411
928341644674
1010222120201
114376136227
121b9344a9a1
13c6ba1ac47
146cd86266d
153ec636551
hex261492d09

10222120201 has 8 divisors (see below), whose sum is σ = 10396253000. Its totient is φ = 10048199040.

The previous prime is 10222120199. The next prime is 10222120219. The reversal of 10222120201 is 10202122201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3547393600 + 6674726601 = 59560^2 + 81699^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10222120201 - 21 = 10222120199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222120001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46075 + ... + 150223.

It is an arithmetic number, because the mean of its divisors is an integer number (1299531625).

Almost surely, 210222120201 is an apocalyptic number.

It is an amenable number.

10222120201 is a deficient number, since it is larger than the sum of its proper divisors (174132799).

10222120201 is a wasteful number, since it uses less digits than its factorization.

10222120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105819.

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

Adding to 10222120201 its reverse (10202122201), we get a palindrome (20424242402).

The spelling of 10222120201 in words is "ten billion, two hundred twenty-two million, one hundred twenty thousand, two hundred one".

Divisors: 1 61 1609 98149 104149 6353089 167575741 10222120201