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211012201121121 = 323710330491201769
BaseRepresentation
bin101111111110101000011011…
…010010101000010101100001
31000200010120101002211220112200
4233332220123102220111201
5210124210441441333441
62024441400021243413
762306062024361631
oct5776503322502541
91020116332756480
10211012201121121
1161264854502134
121b7bb6b3263569
13909849940511a
143a1708b7ac6c1
15195dda19957b6
hexbfea1b4a8561

211012201121121 has 48 divisors (see below), whose sum is σ = 316084204275840. Its totient is φ = 135538800042240.

The previous prime is 211012201121063. The next prime is 211012201121123. The reversal of 211012201121121 is 121121102210112.

It is a happy number.

211012201121121 is a `hidden beast` number, since 211 + 0 + 1 + 220 + 1 + 1 + 211 + 21 = 666.

It is not a de Polignac number, because 211012201121121 - 213 = 211012201112929 is a prime.

It is a super-2 number, since 2×2110122011211212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211012201121094 and 211012201121103.

It is not an unprimeable number, because it can be changed into a prime (211012201121123) 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, 1045709925 + ... + 1045911693.

It is an arithmetic number, because the mean of its divisors is an integer number (6585087589080).

Almost surely, 2211012201121121 is an apocalyptic number.

It is an amenable number.

211012201121121 is a deficient number, since it is larger than the sum of its proper divisors (105072003154719).

211012201121121 is a wasteful number, since it uses less digits than its factorization.

211012201121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232406 (or 232403 counting only the distinct ones).

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

Adding to 211012201121121 its reverse (121121102210112), we get a palindrome (332133303331233).

The spelling of 211012201121121 in words is "two hundred eleven trillion, twelve billion, two hundred one million, one hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 37 103 111 309 333 927 3811 11433 30491 34299 91473 201769 274419 605307 1128167 1815921 3140573 3384501 7465453 9421719 10153503 20782207 22396359 28265157 62346621 67189077 116201201 187039863 348603603 768941659 1045810809 2306824977 6152138579 6920474931 18456415737 55369247211 227629127423 633670273637 682887382269 1901010820911 2048662146807 5703032462733 23445800124569 70337400373707 211012201121121