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22312032221133 = 322479114691237
BaseRepresentation
bin1010001001010111011001…
…10000010011011111001101
32221000000020212222112210200
411010223230300103133031
510411030020222034013
6115242001152324113
74461663646445244
oct504535460233715
987000225875720
1022312032221133
117122530573a26
12260427a543639
13c5b0283b0485
14571c9dc5795b
1528a5c1a09e73
hex144aecc137cd

22312032221133 has 6 divisors (see below), whose sum is σ = 32228490986094. Its totient is φ = 14874688147416.

The previous prime is 22312032221053. The next prime is 22312032221177. The reversal of 22312032221133 is 33112223021322.

22312032221133 is a `hidden beast` number, since 2 + 2 + 3 + 120 + 322 + 211 + 3 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17555781561444 + 4756250659689 = 4189962^2 + 2180883^2 .

It is not a de Polignac number, because 22312032221133 - 230 = 22310958479309 is a prime.

It is a super-3 number, since 3×223120322211333 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22312032221097 and 22312032221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22312032221933) 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, 1239557345610 + ... + 1239557345627.

It is an arithmetic number, because the mean of its divisors is an integer number (5371415164349).

Almost surely, 222312032221133 is an apocalyptic number.

It is an amenable number.

22312032221133 is a deficient number, since it is larger than the sum of its proper divisors (9916458764961).

22312032221133 is a wasteful number, since it uses less digits than its factorization.

22312032221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479114691243 (or 2479114691240 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 22312032221133 its reverse (33112223021322), we get a palindrome (55424255242455).

The spelling of 22312032221133 in words is "twenty-two trillion, three hundred twelve billion, thirty-two million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 2479114691237 7437344073711 22312032221133