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2132224222311 = 3613130772727
BaseRepresentation
bin11111000001110010011…
…101111010010001100111
321112211122101001022000000
4133001302131322101213
5234413243400103221
64311310312552343
7310022334564411
oct37016235722147
97484571038000
102132224222311
117522a8a94077
122a52a56b26b3
131260b619b781
14752b34dd9b1
153a6e6244e26
hex1f07277a467

2132224222311 has 56 divisors (see below), whose sum is σ = 3231814717824. Its totient is φ = 1406017576080.

The previous prime is 2132224222279. The next prime is 2132224222313. The reversal of 2132224222311 is 1132224222312.

2132224222311 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 2 + 2 + 422 + 231 + 1 = 666.

It is not a de Polignac number, because 2132224222311 - 25 = 2132224222279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132224222313) 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 55 ways as a sum of consecutive naturals, for example, 29281830 + ... + 29354556.

It is an arithmetic number, because the mean of its divisors is an integer number (57710977104).

Almost surely, 22132224222311 is an apocalyptic number.

2132224222311 is a deficient number, since it is larger than the sum of its proper divisors (1099590495513).

2132224222311 is an equidigital number, since it uses as much as digits as its factorization.

2132224222311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73183 (or 73168 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 2132224222311 its reverse (1132224222312), we get a palindrome (3264448444623).

Subtracting from 2132224222311 its reverse (1132224222312), we obtain a palindrome (999999999999).

The spelling of 2132224222311 in words is "two trillion, one hundred thirty-two billion, two hundred twenty-four million, two hundred twenty-two thousand, three hundred eleven".

Divisors: 1 3 9 27 81 131 243 307 393 729 921 1179 2763 3537 8289 10611 24867 31833 40217 72727 74601 95499 120651 218181 223803 361953 654543 1085859 1963629 3257577 5890887 9527237 9772731 17672661 22327189 28581711 29318193 53017983 66981567 85745133 200944701 257235399 602834103 771706197 1808502309 2315118591 2924861759 5425506927 6945355773 8774585277 16276520781 26323755831 78971267493 236913802479 710741407437 2132224222311