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10222010201 = 135373203233
BaseRepresentation
bin10011000010100011…
…10111111101011001
3222101101111220212102
421201101313331121
5131413313311301
64410153053145
7511211440004
oct114121677531
928341456772
1010222010201
114376070617
121b933b71b5
13c6b9acb60
146cd83453b
153ec613b6b
hex261477f59

10222010201 has 16 divisors (see below), whose sum is σ = 11369722896. Its totient is φ = 9130807296.

The previous prime is 10222010179. The next prime is 10222010209. The reversal of 10222010201 is 10201022201.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 53304601 + 10168705600 = 7301^2 + 100840^2 .

It is a de Polignac number, because none of the positive numbers 2k-10222010201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10222010209) 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 15 ways as a sum of consecutive naturals, for example, 51320 + ... + 151913.

It is an arithmetic number, because the mean of its divisors is an integer number (710607681).

Almost surely, 210222010201 is an apocalyptic number.

It is an amenable number.

10222010201 is a deficient number, since it is larger than the sum of its proper divisors (1147712695).

10222010201 is a wasteful number, since it uses less digits than its factorization.

10222010201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203372.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10222010201 its reverse (10201022201), we get a palindrome (20423032402).

The spelling of 10222010201 in words is "ten billion, two hundred twenty-two million, ten thousand, two hundred one".

Divisors: 1 13 53 73 689 949 3869 50297 203233 2642029 10771349 14836009 140027537 192868117 786308477 10222010201