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221302102002 = 23172127625203
BaseRepresentation
bin1100111000011010100…
…0100001011111110010
3210011012220221120220020
43032012220201133302
512111211314231002
6245355332024310
721663033554442
oct3160650413762
9704186846806
10221302102002
11859432a3783
1236a81762096
1317b3a6b9767
14a9d52b4122
155b536982bc
hex3386a217f2

221302102002 has 24 divisors (see below), whose sum is σ = 470171251536. Its totient is φ = 69428109888.

The previous prime is 221302102001. The next prime is 221302102031. The reversal of 221302102002 is 200201203122.

It is a happy number.

221302102002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2213021020022 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (221302102001) 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 11 ways as a sum of consecutive naturals, for example, 63810868 + ... + 63814335.

It is an arithmetic number, because the mean of its divisors is an integer number (19590468814).

Almost surely, 2221302102002 is an apocalyptic number.

221302102002 is an abundant number, since it is smaller than the sum of its proper divisors (248869149534).

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

221302102002 is a wasteful number, since it uses less digits than its factorization.

221302102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127625242 (or 127625225 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 221302102002 its reverse (200201203122), we get a palindrome (421503305124).

The spelling of 221302102002 in words is "two hundred twenty-one billion, three hundred two million, one hundred two thousand, two".

Divisors: 1 2 3 6 17 34 51 102 289 578 867 1734 127625203 255250406 382875609 765751218 2169628451 4339256902 6508885353 13017770706 36883683667 73767367334 110651051001 221302102002