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23242120317 = 341322072289
BaseRepresentation
bin10101101001010101…
…101001110001111101
32012222210011001020000
4111221111221301331
5340044440322232
614402143144513
71451650522503
oct255125516175
965883131200
1023242120317
119947630aa9
1246078a5139
1322652a3120
1411a6b16673
159106d927c
hex569569c7d

23242120317 has 20 divisors (see below), whose sum is σ = 37390459260. Its totient is φ = 14302842624.

The previous prime is 23242120313. The next prime is 23242120381. The reversal of 23242120317 is 71302124232.

23242120317 is a `hidden beast` number, since 2 + 32 + 421 + 203 + 1 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1066740921 + 22175379396 = 32661^2 + 148914^2 .

It is not a de Polignac number, because 23242120317 - 22 = 23242120313 is a prime.

It is a super-4 number, since 4×232421203174 (a number of 43 digits) contains 4444 as substring.

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 (23242120313) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11035092 + ... + 11037197.

It is an arithmetic number, because the mean of its divisors is an integer number (1869522963).

Almost surely, 223242120317 is an apocalyptic number.

23242120317 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

23242120317 is a deficient number, since it is larger than the sum of its proper divisors (14148338943).

23242120317 is a wasteful number, since it uses less digits than its factorization.

23242120317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22072314 (or 22072305 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 23242120317 its reverse (71302124232), we get a palindrome (94544244549).

The spelling of 23242120317 in words is "twenty-three billion, two hundred forty-two million, one hundred twenty thousand, three hundred seventeen".

Divisors: 1 3 9 13 27 39 81 117 351 1053 22072289 66216867 198650601 286939757 595951803 860819271 1787855409 2582457813 7747373439 23242120317