Search a number
-
+
23101320330 = 232511107218081
BaseRepresentation
bin10101100000111100…
…100010110010001010
32012121222012122221200
4111200330202302022
5334302414222310
614340153245030
71445320661064
oct254074426212
965558178850
1023101320330
119885102980
124588703776
13224207591a
141192144734
159031759c0
hex560f22c8a

23101320330 has 96 divisors (see below), whose sum is σ = 66136419648. Its totient is φ = 5547955200.

The previous prime is 23101320299. The next prime is 23101320331. The reversal of 23101320330 is 3302310132.

23101320330 is a `hidden beast` number, since 2 + 3 + 10 + 1 + 320 + 330 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23101320331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3111 + ... + 214970.

It is an arithmetic number, because the mean of its divisors is an integer number (688921038).

Almost surely, 223101320330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23101320330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33068209824).

23101320330 is an abundant number, since it is smaller than the sum of its proper divisors (43035099318).

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

23101320330 is a wasteful number, since it uses less digits than its factorization.

23101320330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218212 (or 218209 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 23101320330 its reverse (3302310132), we get a palindrome (26403630462).

The spelling of 23101320330 in words is "twenty-three billion, one hundred one million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 107 110 165 198 214 321 330 495 535 642 963 990 1070 1177 1605 1926 2354 3210 3531 4815 5885 7062 9630 10593 11770 17655 21186 35310 52965 105930 218081 436162 654243 1090405 1308486 1962729 2180810 2398891 3271215 3925458 4797782 6542430 7196673 9813645 11994455 14393346 19627290 21590019 23334667 23988910 35983365 43180038 46669334 70004001 71966730 107950095 116673335 140008002 210012003 215900190 233346670 256681337 350020005 420024006 513362674 700040010 770044011 1050060015 1283406685 1540088022 2100120030 2310132033 2566813370 3850220055 4620264066 7700440110 11550660165 23101320330