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211211332211 = 11315407114553
BaseRepresentation
bin1100010010110100101…
…1010010101001110011
3202012011200101101000202
43010231023102221303
511430030100112321
6241010143505415
721155004462515
oct3045513225163
9665150341022
10211211332211
1181635322010
1234b262b826b
1316bbcc6ab69
14a319083bb5
15576285a70b
hex312d2d2a73

211211332211 has 16 divisors (see below), whose sum is σ = 237891084288. Its totient is φ = 185780433600.

The previous prime is 211211332141. The next prime is 211211332253. The reversal of 211211332211 is 112233112112.

211211332211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211211332211 - 210 = 211211331187 is a prime.

It is a super-4 number, since 4×2112113322114 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (211211332261) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1786511 + ... + 1901063.

It is an arithmetic number, because the mean of its divisors is an integer number (14868192768).

Almost surely, 2211211332211 is an apocalyptic number.

211211332211 is a deficient number, since it is larger than the sum of its proper divisors (26679752077).

211211332211 is a wasteful number, since it uses less digits than its factorization.

211211332211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120002.

The product of its digits is 144, while the sum is 20.

Adding to 211211332211 its reverse (112233112112), we get a palindrome (323444444323).

The spelling of 211211332211 in words is "two hundred eleven billion, two hundred eleven million, three hundred thirty-two thousand, two hundred eleven".

Divisors: 1 11 31 341 5407 59477 114553 167617 1260083 1843787 3551143 39062573 619388071 6813268781 19201030201 211211332211