Search a number
-
+
23020130320 = 24511179146141
BaseRepresentation
bin10101011100000110…
…110101000000010000
32012102022102210012021
4111130012311000100
5334121123132240
614324133141224
71443313610365
oct253406650020
965368383167
1023020130320
1198432996a0
12456548a814
13222b2b99b5
14118544c46c
158eae8954a
hex55c1b5010

23020130320 has 80 divisors (see below), whose sum is σ = 58714009920. Its totient is φ = 8324134400.

The previous prime is 23020130317. The next prime is 23020130351. The reversal of 23020130320 is 2303102032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23020130294 and 23020130303.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84450 + ... + 230590.

It is an arithmetic number, because the mean of its divisors is an integer number (733925124).

Almost surely, 223020130320 is an apocalyptic number.

23020130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23020130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29357004960).

23020130320 is an abundant number, since it is smaller than the sum of its proper divisors (35693879600).

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

23020130320 is a wasteful number, since it uses less digits than its factorization.

23020130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146344 (or 146338 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 23020130320 its reverse (2303102032), we get a palindrome (25323232352).

The spelling of 23020130320 in words is "twenty-three billion, twenty million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 179 220 358 440 716 880 895 1432 1790 1969 2864 3580 3938 7160 7876 9845 14320 15752 19690 31504 39380 78760 146141 157520 292282 584564 730705 1169128 1461410 1607551 2338256 2922820 3215102 5845640 6430204 8037755 11691280 12860408 16075510 25720816 26159239 32151020 52318478 64302040 104636956 128604080 130796195 209273912 261592390 287751629 418547824 523184780 575503258 1046369560 1151006516 1438758145 2092739120 2302013032 2877516290 4604026064 5755032580 11510065160 23020130320