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211111102022121 = 3372274920660607
BaseRepresentation
bin110000000000000100100010…
…001111101000000111101001
31000200111000122200100020102000
4300000010202033220013221
5210132321014104201441
62024555033523001213
762316162624226110
oct6000044217500751
91020430580306360
10211111102022121
11612a2796488954
121b8168b4b09209
1390a48cb2bb012
143a1bb90886c77
15196173e4762b6
hexc001223e81e9

211111102022121 has 32 divisors (see below), whose sum is σ = 359011397959680. Its totient is φ = 120103484071248.

The previous prime is 211111102022111. The next prime is 211111102022141. The reversal of 211111102022121 is 121220201111112.

It is a happy number.

211111102022121 is a `hidden beast` number, since 211 + 111 + 102 + 0 + 221 + 21 = 666.

It is not a de Polignac number, because 211111102022121 - 25 = 211111102022089 is a prime.

It is a super-3 number, since 3×2111111020221213 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211111102022094 and 211111102022103.

It is not an unprimeable number, because it can be changed into a prime (211111102022101) 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 31 ways as a sum of consecutive naturals, for example, 2460287401 + ... + 2460373206.

It is an arithmetic number, because the mean of its divisors is an integer number (11219106186240).

Almost surely, 2211111102022121 is an apocalyptic number.

211111102022121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211111102022121 is a deficient number, since it is larger than the sum of its proper divisors (147900295937559).

211111102022121 is a wasteful number, since it uses less digits than its factorization.

211111102022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4920660850 (or 4920660844 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 211111102022121 its reverse (121220201111112), we get a palindrome (332331303133233).

The spelling of 211111102022121 in words is "two hundred eleven trillion, one hundred eleven billion, one hundred two million, twenty-two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 21 27 63 189 227 681 1589 2043 4767 6129 14301 42903 4920660607 14761981821 34444624249 44285945463 103333872747 132857836389 310001618241 930004854723 1116989957789 3350969873367 7818929704523 10052909620101 23456789113569 30158728860303 70370367340707 211111102022121