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22120001102221 = 1159181188305009
BaseRepresentation
bin1010000011110001101101…
…10011101110000110001101
32220022122120220112222002021
411001320312303232012031
510344403230240232341
6115013442131130141
74442055151042561
oct501706663560615
986278526488067
1022120001102221
117059048a56070
122593007743951
13c45ba402a069
1456688425d6a1
152855d2e859d1
hex141e36cee18d

22120001102221 has 16 divisors (see below), whose sum is σ = 24675488510400. Its totient is φ = 19659042835200.

The previous prime is 22120001102179. The next prime is 22120001102249. The reversal of 22120001102221 is 12220110002122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22120001102221 - 217 = 22120000971149 is a prime.

It is a super-2 number, since 2×221200011022212 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22120001102195 and 22120001102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22120001102281) 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 15 ways as a sum of consecutive naturals, for example, 94035036 + ... + 94269973.

It is an arithmetic number, because the mean of its divisors is an integer number (1542218031900).

Almost surely, 222120001102221 is an apocalyptic number.

It is an amenable number.

22120001102221 is a deficient number, since it is larger than the sum of its proper divisors (2555487408179).

22120001102221 is a wasteful number, since it uses less digits than its factorization.

22120001102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188305260.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22120001102221 its reverse (12220110002122), we get a palindrome (34340111104343).

It can be divided in two parts, 22120001 and 102221, that added together give a palindrome (22222222).

The spelling of 22120001102221 in words is "twenty-two trillion, one hundred twenty billion, one million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 11 59 181 649 1991 10679 117469 188305009 2071355099 11109995531 34083206629 122209950841 374915272919 2010909191111 22120001102221