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212222002100 = 22522437870833
BaseRepresentation
bin1100010110100101101…
…0101100001110110100
3202021210010010201110212
43011221122230032310
511434112313031400
6241254330004552
721222026153123
oct3055132541664
9667703121425
10212222002100
1182003873289
1235168876758
1317021472794
14a3b33ababa
1557c1448335
hex31696ac3b4

212222002100 has 36 divisors (see below), whose sum is σ = 460711244364. Its totient is φ = 84853870080.

The previous prime is 212222002051. The next prime is 212222002129. The reversal of 212222002100 is 1200222212.

212222002100 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 6 ways, for example, as 43746232336 + 168475769764 = 209156^2 + 410458^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 191717 + ... + 679116.

Almost surely, 2212222002100 is an apocalyptic number.

212222002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212222002100 is an abundant number, since it is smaller than the sum of its proper divisors (248489242264).

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

212222002100 is a wasteful number, since it uses less digits than its factorization.

212222002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873284 (or 873277 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212222002100 its reverse (1200222212), we get a palindrome (213422224312).

The spelling of 212222002100 in words is "two hundred twelve billion, two hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2437 4874 9748 12185 24370 48740 60925 121850 243700 870833 1741666 3483332 4354165 8708330 17416660 21770825 43541650 87083300 2122220021 4244440042 8488880084 10611100105 21222200210 42444400420 53055500525 106111001050 212222002100