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211200002221 = 13181230938873
BaseRepresentation
bin1100010010110010000…
…0000100100010101101
3202012010220001202012111
43010230200010202231
511430014200032341
6241005101004021
721154506253465
oct3045440044255
9665126052174
10211200002221
118162999368a
1234b22553611
1316bba801b20
14a317774ba5
15576186d681
hex312c8048ad

211200002221 has 16 divisors (see below), whose sum is σ = 228807699120. Its totient is φ = 193787804160.

The previous prime is 211200002219. The next prime is 211200002227. The reversal of 211200002221 is 122200002112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12996 + 211199989225 = 114^2 + 459565^2 .

It is a cyclic number.

It is not a de Polignac number, because 211200002221 - 21 = 211200002219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211200002227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5413641 + ... + 5452513.

It is an arithmetic number, because the mean of its divisors is an integer number (14300481195).

Almost surely, 2211200002221 is an apocalyptic number.

It is an amenable number.

211200002221 is a deficient number, since it is larger than the sum of its proper divisors (17607696899).

211200002221 is a wasteful number, since it uses less digits than its factorization.

211200002221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41376.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 211200002221 its reverse (122200002112), we get a palindrome (333400004333).

The spelling of 211200002221 in words is "two hundred eleven billion, two hundred million, two thousand, two hundred twenty-one".

Divisors: 1 13 181 2309 2353 30017 38873 417929 505349 5433077 7036013 89757757 91468169 1166850841 16246154017 211200002221