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22144001101 = 157193733997
BaseRepresentation
bin10100100111111000…
…101010010001001101
32010011020211210211221
4110213320222101031
5330322331013401
614101154443341
71412514621655
oct244770522115
963136753757
1022144001101
119433790862
12435bb93551
13211b930541
141100d47365
158990c57a1
hex527e2a44d

22144001101 has 16 divisors (see below), whose sum is σ = 22453570864. Its totient is φ = 21837164544.

The previous prime is 22144001059. The next prime is 22144001107. The reversal of 22144001101 is 10110044122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1670683876 + 20473317225 = 40874^2 + 143085^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22144001101 is a prime.

It is a super-2 number, since 2×221440011012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22210135 + ... + 22211131.

It is an arithmetic number, because the mean of its divisors is an integer number (1403348179).

Almost surely, 222144001101 is an apocalyptic number.

It is an amenable number.

22144001101 is a deficient number, since it is larger than the sum of its proper divisors (309569763).

22144001101 is a wasteful number, since it uses less digits than its factorization.

22144001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080.

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

Adding to 22144001101 its reverse (10110044122), we get a palindrome (32254045223).

The spelling of 22144001101 in words is "twenty-two billion, one hundred forty-four million, one thousand, one hundred one".

Divisors: 1 157 193 733 997 30301 115081 141469 156529 192421 730801 22210633 30210097 114735757 141044593 22144001101