Search a number
-
+
23032320201 = 32111923120789
BaseRepresentation
bin10101011100110101…
…010101000011001001
32012110011101002120100
4111130311111003021
5334132233221301
614325250320013
71443522330402
oct253465250311
965404332510
1023032320201
11984a165080
124569589009
132230997247
141186d029a9
158ec096286
hex55cd550c9

23032320201 has 72 divisors (see below), whose sum is σ = 39541582080. Its totient is φ = 12797092800.

The previous prime is 23032320193. The next prime is 23032320209. The reversal of 23032320201 is 10202323032.

It is a happy number.

23032320201 is a `hidden beast` number, since 230 + 3 + 232 + 0 + 201 = 666.

It is an interprime number because it is at equal distance from previous prime (23032320193) and next prime (23032320209).

It is not a de Polignac number, because 23032320201 - 23 = 23032320193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23032320209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1097515 + ... + 1118303.

It is an arithmetic number, because the mean of its divisors is an integer number (549188640).

Almost surely, 223032320201 is an apocalyptic number.

It is an amenable number.

23032320201 is a deficient number, since it is larger than the sum of its proper divisors (16509261879).

23032320201 is a wasteful number, since it uses less digits than its factorization.

23032320201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20875 (or 20853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 23032320201 its reverse (10202323032), we get a palindrome (33234643233).

The spelling of 23032320201 in words is "twenty-three billion, thirty-two million, three hundred twenty thousand, two hundred one".

Divisors: 1 3 9 11 19 31 33 57 93 99 171 209 279 341 361 589 627 1023 1083 1767 1881 3069 3249 3971 5301 6479 11191 11913 19437 20789 33573 35739 58311 62367 100719 123101 187101 228679 369303 394991 644459 686037 1107909 1184973 1933377 2058111 3554919 4344901 5800131 7089049 7504829 12244721 13034703 21267147 22514487 36734163 39104109 63801441 67543461 82553119 110202489 134691931 232649699 247659357 404075793 697949097 742978071 1212227379 2093847291 2559146689 7677440067 23032320201