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22121022434121 = 3213735189499129
BaseRepresentation
bin1010000011110011100111…
…01011110010101101001001
32220022202020002101000001200
411001321303223302231021
510344412323220342441
6115014131333534413
74442122362160602
oct501716353625511
986282202330050
1022121022434121
117059522519916
1225932517a4409
13c460077c5970
1456693db60da9
1528564297c7b6
hex141e73af2b49

22121022434121 has 48 divisors (see below), whose sum is σ = 34888647939600. Its totient is φ = 13423843915776.

The previous prime is 22121022434081. The next prime is 22121022434129. The reversal of 22121022434121 is 12143422012122.

22121022434121 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 1 + 0 + 2 + 243 + 412 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 636267856896 + 21484754577225 = 797664^2 + 4635165^2 .

It is not a de Polignac number, because 22121022434121 - 214 = 22121022417737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22121022434129) 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, 44069685 + ... + 44568813.

It is an arithmetic number, because the mean of its divisors is an integer number (726846832075).

Almost surely, 222121022434121 is an apocalyptic number.

It is an amenable number.

22121022434121 is a deficient number, since it is larger than the sum of its proper divisors (12767625505479).

22121022434121 is a wasteful number, since it uses less digits than its factorization.

22121022434121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504410 (or 504407 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22121022434121 its reverse (12143422012122), we get a palindrome (34264444446243).

The spelling of 22121022434121 in words is "twenty-two trillion, one hundred twenty-one billion, twenty-two million, four hundred thirty-four thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 5189 8541 15567 46701 67457 202371 378797 499129 607113 1136391 1497387 3409173 4492161 4924361 6488677 14773083 19466031 36436417 44319249 58398093 109309251 327927753 473673421 1421020263 2589980381 4263060789 7769941143 23309823429 33669744953 101009234859 189068567813 303027704577 567205703439 1701617110317 2457891381569 7373674144707 22121022434121