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4022242022133 = 324301310390249
BaseRepresentation
bin111010100010000000010…
…011101001001011110101
3112020112002221222111100200
4322202000103221023311
51011400022424202013
612315443101431113
7563411623035516
oct72420023511365
915215087874320
104022242022133
111310906842045
1254b65486b499
132323acb28a8a
14dc96b2c0a0d
156e963993e73
hex3a8804e92f5

4022242022133 has 12 divisors (see below), whose sum is σ = 5810040775500. Its totient is φ = 2681432081856.

The previous prime is 4022242022131. The next prime is 4022242022179. The reversal of 4022242022133 is 3312202422204.

4022242022133 is a `hidden beast` number, since 4 + 0 + 2 + 22 + 420 + 2 + 213 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3370576543569 + 651665478564 = 1835913^2 + 807258^2 .

It is not a de Polignac number, because 4022242022133 - 21 = 4022242022131 is a prime.

It is a super-2 number, since 2×40222420221332 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4022242022097 and 4022242022106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022242022131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4808008 + ... + 5582241.

It is an arithmetic number, because the mean of its divisors is an integer number (484170064625).

Almost surely, 24022242022133 is an apocalyptic number.

It is an amenable number.

4022242022133 is a deficient number, since it is larger than the sum of its proper divisors (1787798753367).

4022242022133 is a wasteful number, since it uses less digits than its factorization.

4022242022133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433268 (or 10433265 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4022242022133 its reverse (3312202422204), we get a palindrome (7334444444337).

The spelling of 4022242022133 in words is "four trillion, twenty-two billion, two hundred forty-two million, twenty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 43013 129039 387117 10390249 31170747 93512241 446915780237 1340747340711 4022242022133