Search a number
-
+
23130212301 = 3272371579029
BaseRepresentation
bin10101100010101010…
…110000011111001101
32012200222120112021200
4111202222300133031
5334332313243201
614343104420113
71446121363200
oct254252603715
965628515250
1023130212301
11989a446939
124596317639
132248050471
141195d05937
15905981386
hex562ab07cd

23130212301 has 72 divisors (see below), whose sum is σ = 40174144920. Its totient is φ = 12776714496.

The previous prime is 23130212299. The next prime is 23130212333. The reversal of 23130212301 is 10321203132.

23130212301 is a `hidden beast` number, since 23 + 130 + 212 + 301 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13859411076 + 9270801225 = 117726^2 + 96285^2 .

It is not a de Polignac number, because 23130212301 - 21 = 23130212299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23130212351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2557255 + ... + 2566283.

It is an arithmetic number, because the mean of its divisors is an integer number (557974235).

Almost surely, 223130212301 is an apocalyptic number.

23130212301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23130212301 is a deficient number, since it is larger than the sum of its proper divisors (17043932619).

23130212301 is a wasteful number, since it uses less digits than its factorization.

23130212301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9243 (or 9233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23130212301 its reverse (10321203132), we get a palindrome (33451415433).

The spelling of 23130212301 in words is "twenty-three billion, one hundred thirty million, two hundred twelve thousand, three hundred one".

Divisors: 1 3 7 9 21 37 49 63 111 147 157 259 333 441 471 777 1099 1413 1813 2331 3297 5439 5809 7693 9029 9891 16317 17427 23079 27087 40663 52281 63203 69237 81261 121989 189609 284641 334073 365967 442421 568827 853923 1002219 1327263 1417553 2338511 2561769 3006657 3981789 4252659 7015533 9922871 12757977 16369577 21046599 29768613 49108731 52449461 69460097 89305839 147326193 157348383 208380291 367146227 472045149 625140873 1101438681 2570023589 3304316043 7710070767 23130212301