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211020121120221 = 327142916131453171
BaseRepresentation
bin101111111110101111110011…
…010111000001110111011101
31000200011022211001201112211200
4233332233303113001313131
5210124323202001321341
62024445145542310113
762306462214303210
oct5776576327016735
91020138731645750
10211020121120221
11612681490a8736
121b801143728339
13909915c1b761a
143a175dd5ad777
15195e1b6e3bdb6
hexbfebf35c1ddd

211020121120221 has 48 divisors (see below), whose sum is σ = 348810804101760. Its totient is φ = 120423756136320.

The previous prime is 211020121120217. The next prime is 211020121120229. The reversal of 211020121120221 is 122021121020112.

211020121120221 is a `hidden beast` number, since 2 + 1 + 10 + 201 + 211 + 20 + 221 = 666.

It is not a de Polignac number, because 211020121120221 - 22 = 211020121120217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211020121120194 and 211020121120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211020121120229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144486966 + ... + 145940136.

It is an arithmetic number, because the mean of its divisors is an integer number (7266891752120).

Almost surely, 2211020121120221 is an apocalyptic number.

211020121120221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211020121120221 is a deficient number, since it is larger than the sum of its proper divisors (137790682981539).

211020121120221 is a wasteful number, since it uses less digits than its factorization.

211020121120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456226 (or 1456223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211020121120221 its reverse (122021121020112), we get a palindrome (333041242140333).

The spelling of 211020121120221 in words is "two hundred eleven trillion, twenty billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 1429 1613 4287 4839 10003 11291 12861 14517 30009 33873 90027 101619 1453171 2304977 4359513 6914931 10172197 13078539 16134839 20744793 30516591 48404517 91549773 145213551 2076581359 2343964823 6229744077 7031894469 14536069513 16407753761 18689232231 21095683407 43608208539 49223261283 130824625617 147669783849 3349525732067 10048577196201 23446680124469 30145731588603 70340040373407 211020121120221