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20111222111121 = 322234580234569
BaseRepresentation
bin1001001001010100000100…
…01111111111101110010001
32122012121120122111011022200
410210222002033333232101
510114000240330023441
6110434545021553413
74143662555251341
oct444520217775621
978177518434280
1020111222111121
116454137646339
122309833715869
13b2b631a473cb
144d7561888d21
1524d2143d57b6
hex124a823ffb91

20111222111121 has 6 divisors (see below), whose sum is σ = 29049543049410. Its totient is φ = 13407481407408.

The previous prime is 20111222111117. The next prime is 20111222111219. The reversal of 20111222111121 is 12111122211102.

It is a happy number.

20111222111121 is a `hidden beast` number, since 201 + 11 + 222 + 111 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18361782054225 + 1749440056896 = 4285065^2 + 1322664^2 .

It is not a de Polignac number, because 20111222111121 - 22 = 20111222111117 is a prime.

It is a super-2 number, since 2×201112221111212 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20111222111094 and 20111222111103.

It is not an unprimeable number, because it can be changed into a prime (20111222110121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1117290117276 + ... + 1117290117293.

It is an arithmetic number, because the mean of its divisors is an integer number (4841590508235).

Almost surely, 220111222111121 is an apocalyptic number.

It is an amenable number.

20111222111121 is a deficient number, since it is larger than the sum of its proper divisors (8938320938289).

20111222111121 is a wasteful number, since it uses less digits than its factorization.

20111222111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2234580234575 (or 2234580234572 counting only the distinct ones).

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

Adding to 20111222111121 its reverse (12111122211102), we get a palindrome (32222344322223).

The spelling of 20111222111121 in words is "twenty trillion, one hundred eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 9 2234580234569 6703740703707 20111222111121