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212230334404100 = 22522122303344041
BaseRepresentation
bin110000010000010110111001…
…101100010101011000000100
31000211110000120220112020102102
4300100112321230111120010
5210304140211101412400
62031213134125131232
762463064350423125
oct6020267154253004
91024400526466372
10212230334404100
1161694419a35101
121b9777b16b9b18
13915630871826c
143a5a0082da04c
1519808e85b59d5
hexc105b9b15604

212230334404100 has 18 divisors (see below), whose sum is σ = 460539825657114. Its totient is φ = 84892133761600.

The previous prime is 212230334404073. The next prime is 212230334404129. The reversal of 212230334404100 is 1404433032212.

It can be written as a sum of positive squares in 3 ways, for example, as 21069348498496 + 191160985905604 = 4590136^2 + 13826098^2 .

It is a super-2 number, since 2×2122303344041002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1061151671921 + ... + 1061151672120.

Almost surely, 2212230334404100 is an apocalyptic number.

212230334404100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212230334404100 is an abundant number, since it is smaller than the sum of its proper divisors (248309491253014).

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

212230334404100 is a wasteful number, since it uses less digits than its factorization.

212230334404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122303344055 (or 2122303344048 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 212230334404100 its reverse (1404433032212), we get a palindrome (213634767436312).

The spelling of 212230334404100 in words is "two hundred twelve trillion, two hundred thirty billion, three hundred thirty-four million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2122303344041 4244606688082 8489213376164 10611516720205 21223033440410 42446066880820 53057583601025 106115167202050 212230334404100