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2221344432131 = 111941467555097
BaseRepresentation
bin100000010100110010011…
…100100010000000000011
321212100200022110000212212
4200110302130202000003
5242343303133312011
64420245504212335
7316325662064126
oct40246234420003
97770608400785
102221344432131
11787081026840
122ba61790a0ab
13131619952136
14797296223bd
153cbb023808b
hex20532722003

2221344432131 has 32 divisors (see below), whose sum is σ = 2618641509120. Its totient is φ = 1862458099200.

The previous prime is 2221344432127. The next prime is 2221344432137. The reversal of 2221344432131 is 1312344431222.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2221344432131 - 22 = 2221344432127 is a prime.

It is a super-2 number, since 2×22213444321312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2221344432137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3724175 + ... + 4279271.

It is an arithmetic number, because the mean of its divisors is an integer number (81832547160).

Almost surely, 22221344432131 is an apocalyptic number.

2221344432131 is a deficient number, since it is larger than the sum of its proper divisors (397297076989).

2221344432131 is a wasteful number, since it uses less digits than its factorization.

2221344432131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555635.

The product of its digits is 27648, while the sum is 32.

Adding to 2221344432131 its reverse (1312344431222), we get a palindrome (3533688863353).

Subtracting from 2221344432131 its reverse (1312344431222), we obtain a palindrome (909000000909).

The spelling of 2221344432131 in words is "two trillion, two hundred twenty-one billion, three hundred forty-four million, four hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 11 19 41 209 451 467 779 5137 8569 8873 19147 97603 210617 363793 555097 4001723 6106067 10546843 22758977 116015273 250348747 259230299 432420563 2851533289 4756626193 4925375681 10628442259 54179132491 116912864849 201940402921 2221344432131