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221213320100 = 22522212133201
BaseRepresentation
bin1100111000000101010…
…1110110001110100100
3210010222201220000000122
43032001111312032210
512111021102220400
6245342441101112
721660605124203
oct3160125661644
9703881800018
10221213320100
11858a8174603
1236a57a87798
1317b251a30a6
14a9c75a323a
155b4a9ac685
hex33815763a4

221213320100 has 18 divisors (see below), whose sum is σ = 480032904834. Its totient is φ = 88485328000.

The previous prime is 221213320093. The next prime is 221213320127. The reversal of 221213320100 is 1023312122.

It can be written as a sum of positive squares in 3 ways, for example, as 1259824036 + 219953496064 = 35494^2 + 468992^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1106066501 + ... + 1106066700.

It is an arithmetic number, because the mean of its divisors is an integer number (26668494713).

Almost surely, 2221213320100 is an apocalyptic number.

221213320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221213320100 is an abundant number, since it is smaller than the sum of its proper divisors (258819584734).

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

221213320100 is a wasteful number, since it uses less digits than its factorization.

221213320100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212133215 (or 2212133208 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 221213320100 its reverse (1023312122), we get a palindrome (222236632222).

The spelling of 221213320100 in words is "two hundred twenty-one billion, two hundred thirteen million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2212133201 4424266402 8848532804 11060666005 22121332010 44242664020 55303330025 110606660050 221213320100