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211022010021011 = 7315342143582291
BaseRepresentation
bin101111111110110001100011…
…111100100111010010010011
31000200011111200201000122121012
4233332301203330213102103
5210124341034031133021
62024450101220121135
762306560061554460
oct5776614374472223
91020144621018535
10211022010021011
1161268a28362872
121b8015902361ab
1390993a06331b7
143a1773c3c8667
15195e277ba635b
hexbfec63f27493

211022010021011 has 32 divisors (see below), whose sum is σ = 254247237144576. Its totient is φ = 171330698448000.

The previous prime is 211022010020959. The next prime is 211022010021113. The reversal of 211022010021011 is 110120010220112.

It is not a de Polignac number, because 211022010021011 - 214 = 211022010004627 is a prime.

It is a super-2 number, since 2×2110220100210112 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211022010024011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16949225 + ... + 26633066.

It is an arithmetic number, because the mean of its divisors is an integer number (7945226160768).

Almost surely, 2211022010021011 is an apocalyptic number.

211022010021011 is a deficient number, since it is larger than the sum of its proper divisors (43225227123565).

211022010021011 is a wasteful number, since it uses less digits than its factorization.

211022010021011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43582803.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211022010021011 its reverse (110120010220112), we get a palindrome (321142020241123).

The spelling of 211022010021011 in words is "two hundred eleven trillion, twenty-two billion, ten million, twenty-one thousand, eleven".

Divisors: 1 7 31 53 217 371 421 1643 2947 11501 13051 22313 91357 156191 691703 4841921 43582291 305076037 1351051021 2309861423 9457357147 16169029961 18348144511 71605704113 128437011577 501239928791 568792479841 972451659083 3981547358887 6807161613581 30146001431573 211022010021011