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10222030312 = 2313811712109
BaseRepresentation
bin10011000010100011…
…11100110111101000
3222101101112221110021
421201101330313220
5131413314432222
64410153330224
7511211552434
oct114121746750
928341487407
1010222030312
11437608473a
121b93406974
13c6b9b9060
146cd83b9c4
153ec619ac7
hex26147cde8

10222030312 has 32 divisors (see below), whose sum is σ = 20644885800. Its totient is φ = 4716889344.

The previous prime is 10222030237. The next prime is 10222030319. The reversal of 10222030312 is 21303022201.

10222030312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10219996836 + 2033476 = 101094^2 + 1426^2 .

It is not an unprimeable number, because it can be changed into a prime (10222030319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838114 + ... + 850222.

Almost surely, 210222030312 is an apocalyptic number.

It is an amenable number.

10222030312 is an abundant number, since it is smaller than the sum of its proper divisors (10422855488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10222030312 is a wasteful number, since it uses less digits than its factorization.

10222030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20245 (or 20241 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10222030312 its reverse (21303022201), we get a palindrome (31525052513).

The spelling of 10222030312 in words is "ten billion, two hundred twenty-two million, thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 8117 12109 16234 24218 32468 48436 64936 96872 105521 157417 211042 314834 422084 629668 844168 1259336 98288753 196577506 393155012 786310024 1277753789 2555507578 5111015156 10222030312