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211021222100 = 225213162324017
BaseRepresentation
bin1100010010000111011…
…0000101000011010100
3202011200102122202222112
43010201312011003110
511424132413101400
6240535233050152
721150205535603
oct3044166050324
9664612582875
10211021222100
1181547a84517
1234a926b6958
1316b8c767280
14a2dbb17a3a
155750d06835
hex3121d850d4

211021222100 has 36 divisors (see below), whose sum is σ = 493140366684. Its totient is φ = 77915527680.

The previous prime is 211021222099. The next prime is 211021222121. The reversal of 211021222100 is 1222120112.

It can be written as a sum of positive squares in 6 ways, for example, as 63308598544 + 147712623556 = 251612^2 + 384334^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81160709 + ... + 81163308.

It is an arithmetic number, because the mean of its divisors is an integer number (13698343519).

Almost surely, 2211021222100 is an apocalyptic number.

211021222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021222100 is an abundant number, since it is smaller than the sum of its proper divisors (282119144584).

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

211021222100 is a wasteful number, since it uses less digits than its factorization.

211021222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162324044 (or 162324037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211021222100 its reverse (1222120112), we get a palindrome (212243342212).

It can be divided in two parts, 2110212 and 22100, that added together give a palindrome (2132312).

The spelling of 211021222100 in words is "two hundred eleven billion, twenty-one million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 162324017 324648034 649296068 811620085 1623240170 2110212221 3246480340 4058100425 4220424442 8116200850 8440848884 10551061105 16232401700 21102122210 42204244420 52755305525 105510611050 211021222100