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211212120199 = 2112415577457
BaseRepresentation
bin1100010010110100111…
…0010011000010000111
3202012011201212101221111
43010231032103002013
511430030300321244
6241010212425451
721155014254043
oct3045516230207
9665151771844
10211212120199
1181635810043
1234b26618287
1316bc0185722
14a31920b023
155762963e34
hex312d393087

211212120199 has 16 divisors (see below), whose sum is σ = 213504879456. Its totient is φ = 208935014400.

The previous prime is 211212120193. The next prime is 211212120221. The reversal of 211212120199 is 991021212112.

It is a cyclic number.

It is not a de Polignac number, because 211212120199 - 29 = 211212119687 is a prime.

It is a super-2 number, since 2×2112121201992 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211212120199.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211212120193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28320279 + ... + 28327735.

It is an arithmetic number, because the mean of its divisors is an integer number (13344054966).

Almost surely, 2211212120199 is an apocalyptic number.

211212120199 is a deficient number, since it is larger than the sum of its proper divisors (2292759257).

211212120199 is a wasteful number, since it uses less digits than its factorization.

211212120199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466.

The product of its (nonzero) digits is 1296, while the sum is 31.

The spelling of 211212120199 in words is "two hundred eleven billion, two hundred twelve million, one hundred twenty thousand, one hundred ninety-nine".

Divisors: 1 211 241 557 7457 50851 117527 134237 1573427 1797137 4153549 28324007 379195907 876398839 1001005309 211212120199