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211221121110093 = 348578093039917
BaseRepresentation
bin110000000001101010111111…
…111001001001000001001101
31000200212112122002122222120000
4300001222333321021001031
5210141121324001010333
62025121350553514513
762330136200106453
oct6001527771110115
91020775562588500
10211221121110093
1161335413386046
121b83409a112a39
1390b20b273c183
143a2322a3d89d3
15196452d08e713
hexc01abfe4904d

211221121110093 has 20 divisors (see below), whose sum is σ = 315528319209180. Its totient is φ = 140813870262912.

The previous prime is 211221121110091. The next prime is 211221121110133. The reversal of 211221121110093 is 390011121122112.

211221121110093 is a `hidden beast` number, since 211 + 221 + 1 + 211 + 10 + 0 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 159336140156964 + 51884980953129 = 12622842^2 + 7203123^2 .

It is not a de Polignac number, because 211221121110093 - 21 = 211221121110091 is a prime.

It is a super-2 number, since 2×2112211211100932 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211221121110091) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67962571 + ... + 71002487.

It is an arithmetic number, because the mean of its divisors is an integer number (15776415960459).

Almost surely, 2211221121110093 is an apocalyptic number.

It is an amenable number.

211221121110093 is a deficient number, since it is larger than the sum of its proper divisors (104307198099087).

211221121110093 is an equidigital number, since it uses as much as digits as its factorization.

211221121110093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897738 (or 3897729 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 211221121110093 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred ten thousand, ninety-three".

Divisors: 1 3 9 27 81 857809 2573427 3039917 7720281 9119751 23160843 27359253 69482529 82077759 246233277 2607668161853 7823004485559 23469013456677 70407040370031 211221121110093