Search a number
-
+
23020031320 = 235111322318047
BaseRepresentation
bin10101011100000110…
…011100110101011000
32012102022020202101121
4111130012130311120
5334121112000240
614324131055024
71443313015636
oct253406346530
965368222347
1023020031320
119843231280
124565441474
13222b283910
141185424356
158eae6a04a
hex55c19cd58

23020031320 has 128 divisors (see below), whose sum is σ = 61126410240. Its totient is φ = 7691927040.

The previous prime is 23020031317. The next prime is 23020031323. The reversal of 23020031320 is 2313002032.

It is an interprime number because it is at equal distance from previous prime (23020031317) and next prime (23020031323).

It is a junction number, because it is equal to n+sod(n) for n = 23020031294 and 23020031303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23020031323) 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 31 ways as a sum of consecutive naturals, for example, 1266537 + ... + 1284583.

It is an arithmetic number, because the mean of its divisors is an integer number (477550080).

Almost surely, 223020031320 is an apocalyptic number.

23020031320 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 23020031320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30563205120).

23020031320 is an abundant number, since it is smaller than the sum of its proper divisors (38106378920).

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

23020031320 is a wasteful number, since it uses less digits than its factorization.

23020031320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18305 (or 18301 counting only the distinct ones).

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

Adding to 23020031320 its reverse (2313002032), we get a palindrome (25333033352).

The spelling of 23020031320 in words is "twenty-three billion, twenty million, thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 223 260 286 440 446 520 572 715 892 1115 1144 1430 1784 2230 2453 2860 2899 4460 4906 5720 5798 8920 9812 11596 12265 14495 18047 19624 23192 24530 28990 31889 36094 49060 57980 63778 72188 90235 98120 115960 127556 144376 159445 180470 198517 234611 255112 318890 360940 397034 469222 637780 721880 794068 938444 992585 1173055 1275560 1588136 1876888 1985170 2346110 2580721 3970340 4024481 4692220 5161442 7940680 8048962 9384440 10322884 12903605 16097924 20122405 20645768 25807210 32195848 40244810 44269291 51614420 52318253 80489620 88538582 103228840 104636506 160979240 177077164 209273012 221346455 261591265 354154328 418546024 442692910 523182530 575500783 885385820 1046365060 1151001566 1770771640 2092730120 2302003132 2877503915 4604006264 5755007830 11510015660 23020031320