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211101022020020 = 22511287231827281
BaseRepresentation
bin101111111111111011001001…
…011011011110000110110100
31000200110001122012001002000212
4233333323021123132012310
5210132134343114120040
62024550245401324552
762315355055511636
oct5777731133360664
91020401565032025
10211101022020020
11612994935a1100
121b814961196758
1390a3982b6c532
143a1b4b5c5aa56
15196134e563d65
hexbffec96de1b4

211101022020020 has 36 divisors (see below), whose sum is σ = 487276987197252. Its totient is φ = 76764008006400.

The previous prime is 211101022019981. The next prime is 211101022020149. The reversal of 211101022020020 is 20020220101112.

It can be written as a sum of positive squares in 2 ways, for example, as 134430018604816 + 76671003415204 = 11594396^2 + 8756198^2 .

It is a junction number, because it is equal to n+sod(n) for n = 211101022019977 and 211101022020004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43615911221 + ... + 43615916060.

Almost surely, 2211101022020020 is an apocalyptic number.

211101022020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211101022020020 is an abundant number, since it is smaller than the sum of its proper divisors (276175965177232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211101022020020 is a wasteful number, since it uses less digits than its factorization.

211101022020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87231827312 (or 87231827299 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211101022020020 its reverse (20020220101112), we get a palindrome (231121242121132).

The spelling of 211101022020020 in words is "two hundred eleven trillion, one hundred one billion, twenty-two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 87231827281 174463654562 348927309124 436159136405 872318272810 959550100091 1744636545620 1919100200182 3838200400364 4797750500455 9595501000910 10555051101001 19191002001820 21110102202002 42220204404004 52775255505005 105550511010010 211101022020020