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10222323201 = 34126201521
BaseRepresentation
bin10011000010100110…
…00100011000000001
3222101102002211020000
421201103010120001
5131413403320301
64410203510213
7511214212356
oct114123043001
928342084200
1010222323201
1143762647a2
121b93528369
13c6ba8c46c
146cd8b662d
153ec676786
hex2614c4601

10222323201 has 10 divisors (see below), whose sum is σ = 15270384162. Its totient is φ = 6814882080.

The previous prime is 10222323169. The next prime is 10222323203. The reversal of 10222323201 is 10232322201.

It can be written as a sum of positive squares in only one way, i.e., 6294042225 + 3928280976 = 79335^2 + 62676^2 .

It is not a de Polignac number, because 10222323201 - 25 = 10222323169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10222323203) 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 in 9 ways as a sum of consecutive naturals, for example, 63100680 + ... + 63100841.

Almost surely, 210222323201 is an apocalyptic number.

It is an amenable number.

10222323201 is a deficient number, since it is larger than the sum of its proper divisors (5048060961).

10222323201 is an equidigital number, since it uses as much as digits as its factorization.

10222323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126201533 (or 126201524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10222323201 its reverse (10232322201), we get a palindrome (20454645402).

The spelling of 10222323201 in words is "ten billion, two hundred twenty-two million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 27 81 126201521 378604563 1135813689 3407441067 10222323201