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11233122232023 = 35534435213779
BaseRepresentation
bin1010001101110110101001…
…0000101010011011010111
31110202212122121021002100000
42203131222100222123113
52433020413242411043
635520231454022343
72236365145360416
oct243355220523327
943685577232300
1011233122232023
113640a3872028a
121315079aa79b3
13636381918693
142ab98660547d
151472ec8e32d3
hexa376a42a6d7

11233122232023 has 96 divisors (see below), whose sum is σ = 17220288234240. Its totient is φ = 7314858420480.

The previous prime is 11233122231977. The next prime is 11233122232027. The reversal of 11233122232023 is 32023222133211.

11233122232023 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 312 + 2 + 2 + 320 + 23 = 666.

It is not a de Polignac number, because 11233122232023 - 214 = 11233122215639 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 (11233122232027) 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 95 ways as a sum of consecutive naturals, for example, 2972509948 + ... + 2972513726.

It is an arithmetic number, because the mean of its divisors is an integer number (179378002440).

Almost surely, 211233122232023 is an apocalyptic number.

11233122232023 is a deficient number, since it is larger than the sum of its proper divisors (5987166002217).

11233122232023 is an equidigital number, since it uses as much as digits as its factorization.

11233122232023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4799 counting only the distinct ones).

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

Adding to 11233122232023 its reverse (32023222133211), we get a palindrome (43256344365234).

The spelling of 11233122232023 in words is "eleven trillion, two hundred thirty-three billion, one hundred twenty-two million, two hundred thirty-two thousand, twenty-three".

Divisors: 1 3 9 27 53 81 159 243 443 477 521 1329 1431 1563 3779 3987 4293 4689 11337 11961 12879 14067 23479 27613 34011 35883 42201 70437 82839 102033 107649 126603 200287 211311 230803 248517 306099 600861 633933 692409 745551 918297 1674097 1802583 1901799 1968859 2077227 2236653 5022291 5407749 5705397 5906577 6231681 6709959 12232559 15066873 16223247 17719731 18695043 36697677 45200619 48669741 53159193 56085129 88727141 104349527 110093031 135601857 159477579 266181423 313048581 330279093 406805571 478432737 798544269 872204537 939145743 990837279 2395632807 2616613611 2817437229 2972511837 7186898421 7849840833 8452311687 21560695263 23549522499 25356935061 46226840461 70648567497 138680521383 211945702491 416041564149 1248124692447 3744374077341 11233122232023