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211321220011 = 114310716192579
BaseRepresentation
bin1100010011001110111…
…0011110101110101011
3202012110100011020202021
43010303232132232223
511430241213020021
6241025111045311
721160510506226
oct3046356365653
9665410136667
10211321220011
1181691357380
1234b57070837
1316c09964125
14a3298ca5bd
15576c314c41
hex3133b9ebab

211321220011 has 32 divisors (see below), whose sum is σ = 238337510400. Its totient is φ = 185702002080.

The previous prime is 211321220003. The next prime is 211321220021. The reversal of 211321220011 is 110022123112.

It is a cyclic number.

It is not a de Polignac number, because 211321220011 - 23 = 211321220003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211321220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81937920 + ... + 81940498.

It is an arithmetic number, because the mean of its divisors is an integer number (7448047200).

Almost surely, 2211321220011 is an apocalyptic number.

211321220011 is a deficient number, since it is larger than the sum of its proper divisors (27016290389).

211321220011 is a wasteful number, since it uses less digits than its factorization.

211321220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 211321220011 its reverse (110022123112), we get a palindrome (321343343123).

The spelling of 211321220011 in words is "two hundred eleven billion, three hundred twenty-one million, two hundred twenty thousand, eleven".

Divisors: 1 11 43 107 473 1177 1619 2579 4601 17809 28369 50611 69617 110897 173233 275953 765787 1219867 1905563 3035483 4175401 7449019 11865979 45929411 81939209 130525769 179542243 446767907 1974964673 4914446977 19211020001 211321220011