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23201120322 = 2323734836517
BaseRepresentation
bin10101100110111001…
…010000000001000010
32012212221000000210200
4111212321100001002
5340003441322242
614354120310030
71450642161132
oct254671200102
965787000720
1023201120322
119926478106
1245b6012316
132259949383
1411a14c2ac2
1590bcdb04c
hex566e50042

23201120322 has 24 divisors (see below), whose sum is σ = 51627719676. Its totient is φ = 7524687456.

The previous prime is 23201120309. The next prime is 23201120329. The reversal of 23201120322 is 22302110232.

23201120322 is a `hidden beast` number, since 2 + 320 + 1 + 1 + 20 + 322 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22596403041 + 604717281 = 150321^2 + 24591^2 .

It is a super-3 number, since 3×232011203223 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23201120295 and 23201120304.

It is not an unprimeable number, because it can be changed into a prime (23201120329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17417593 + ... + 17418924.

Almost surely, 223201120322 is an apocalyptic number.

23201120322 is an abundant number, since it is smaller than the sum of its proper divisors (28426599354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23201120322 is a wasteful number, since it uses less digits than its factorization.

23201120322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34836562 (or 34836559 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23201120322 its reverse (22302110232), we get a palindrome (45503230554).

The spelling of 23201120322 in words is "twenty-three billion, two hundred one million, one hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 34836517 69673034 104509551 209019102 313528653 627057306 1288951129 2577902258 3866853387 7733706774 11600560161 23201120322