Search a number
-
+
23020310320 = 24571913011663
BaseRepresentation
bin10101011100000111…
…100000111100110000
32012102022202221002221
4111130013200330300
5334121144412240
614324141050424
71443315260230
oct253407407460
965368687087
1023020310320
119843401957
124565556a14
13222b3508c7
141185497cc0
158eaec2a4a
hex55c1e0f30

23020310320 has 160 divisors (see below), whose sum is σ = 64475873280. Its totient is φ = 7467033600.

The previous prime is 23020310273. The next prime is 23020310329. The reversal of 23020310320 is 2301302032.

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 = 23020310294 and 23020310303.

It is not an unprimeable number, because it can be changed into a prime (23020310329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13841809 + ... + 13843471.

It is an arithmetic number, because the mean of its divisors is an integer number (402974208).

Almost surely, 223020310320 is an apocalyptic number.

23020310320 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 23020310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32237936640).

23020310320 is an abundant number, since it is smaller than the sum of its proper divisors (41455562960).

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

23020310320 is a wasteful number, since it uses less digits than its factorization.

23020310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003 (or 2997 counting only the distinct ones).

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

Adding to 23020310320 its reverse (2301302032), we get a palindrome (25321612352).

The spelling of 23020310320 in words is "twenty-three billion, twenty million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1301 1330 1520 1663 2128 2602 2660 3326 5204 5320 6505 6652 8315 9107 10408 10640 11641 13010 13304 16630 18214 20816 23282 24719 26020 26608 31597 33260 36428 45535 46564 49438 52040 58205 63194 66520 72856 91070 93128 98876 104080 116410 123595 126388 133040 145712 157985 173033 182140 186256 197752 221179 232820 247190 252776 315970 346066 364280 395504 442358 465640 494380 505552 631940 692132 728560 865165 884716 931280 988760 1105895 1263880 1384264 1730330 1769432 1977520 2163563 2211790 2527760 2768528 3460660 3538864 4327126 4423580 6921320 8654252 8847160 10817815 13842640 15144941 17308504 17694320 21635630 30289882 34617008 41107697 43271260 60579764 75724705 82215394 86542520 121159528 151449410 164430788 173085040 205538485 242319056 287753879 302898820 328861576 411076970 575507758 605797640 657723152 822153940 1151015516 1211595280 1438769395 1644307880 2302031032 2877538790 3288615760 4604062064 5755077580 11510155160 23020310320