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212200210222100 = 22525573380764777
BaseRepresentation
bin110000001111111010110110…
…001001101100110000010100
31000211100010211111120020100222
4300033322312021230300110
5210303142012304101400
62031151233015253512
762460650012204462
oct6017726611546024
91024303744506328
10212200210222100
1161682670693321
121b9719a507a298
1391535176c38b9
143a5878b5a7832
15197ec33b0c185
hexc0feb626cc14

212200210222100 has 36 divisors (see below), whose sum is σ = 460557083348124. Its totient is φ = 84864853274880.

The previous prime is 212200210222061. The next prime is 212200210222159. The reversal of 212200210222100 is 1222012002212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1338329687044 + 210861880535056 = 1156862^2 + 14521084^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189825089 + ... + 190939688.

Almost surely, 2212200210222100 is an apocalyptic number.

212200210222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212200210222100 is an abundant number, since it is smaller than the sum of its proper divisors (248356873126024).

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

212200210222100 is a wasteful number, since it uses less digits than its factorization.

212200210222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380770364 (or 380770357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212200210222100 its reverse (1222012002212), we get a palindrome (213422222224312).

The spelling of 212200210222100 in words is "two hundred twelve trillion, two hundred billion, two hundred ten million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5573 11146 22292 27865 55730 111460 139325 278650 557300 380764777 761529554 1523059108 1903823885 3807647770 7615295540 9519119425 19038238850 38076477700 2122002102221 4244004204442 8488008408884 10610010511105 21220021022210 42440042044420 53050052555525 106100105111050 212200210222100