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212100022100 = 22529112328211
BaseRepresentation
bin1100010110001000100…
…1010111111101010100
3202021110121121111101002
43011202021113331110
511433340101201400
6241234251322432
721216015304241
oct3054211277524
9667417544332
10212100022100
1181a50a2996a
1235133a50418
1317002104575
14a3a10d85c8
1557b58a0ed5
hex3162257f54

212100022100 has 36 divisors (see below), whose sum is σ = 460762467648. Its totient is φ = 84746844000.

The previous prime is 212100022061. The next prime is 212100022117. The reversal of 212100022100 is 1220001212.

It is a happy number.

212100022100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 1073006 + ... + 1255205.

Almost surely, 2212100022100 is an apocalyptic number.

212100022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100022100 is an abundant number, since it is smaller than the sum of its proper divisors (248662445548).

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

212100022100 is a wasteful number, since it uses less digits than its factorization.

212100022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329136 (or 2329129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 212100022100 its reverse (1220001212), we get a palindrome (213320023312).

The spelling of 212100022100 in words is "two hundred twelve billion, one hundred million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 911 1822 3644 4555 9110 18220 22775 45550 91100 2328211 4656422 9312844 11641055 23282110 46564220 58205275 116410550 232821100 2121000221 4242000442 8484000884 10605001105 21210002210 42420004420 53025005525 106050011050 212100022100