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23311012320 = 2532537437519
BaseRepresentation
bin10101101101011100…
…011101000111100000
32020011120210010021200
4111231130131013200
5340220104343240
614413043521200
71453445223021
oct255534350740
966146703250
1023311012320
119982505642
124626989200
13227664451b
1411b1d2ac48
15916796930
hex56d71d1e0

23311012320 has 144 divisors (see below), whose sum is σ = 81698984640. Its totient is φ = 6048248832.

The previous prime is 23311012297. The next prime is 23311012321. The reversal of 23311012320 is 2321011332.

23311012320 is a `hidden beast` number, since 2 + 331 + 1 + 0 + 12 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 23311012293 and 23311012302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23311012321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165480 + ... + 272039.

It is an arithmetic number, because the mean of its divisors is an integer number (567354060).

Almost surely, 223311012320 is an apocalyptic number.

23311012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23311012320 is an abundant number, since it is smaller than the sum of its proper divisors (58387972320).

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

23311012320 is a wasteful number, since it uses less digits than its factorization.

23311012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437577 (or 437566 counting only the distinct ones).

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

Adding to 23311012320 its reverse (2321011332), we get a palindrome (25632023652).

It can be divided in two parts, 23311012 and 320, that added together give a palindrome (23311332).

The spelling of 23311012320 in words is "twenty-three billion, three hundred eleven million, twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 437519 875038 1312557 1750076 2187595 2625114 3500152 3937671 4375190 5250228 6562785 7000304 7875342 8750380 10500456 13125570 14000608 15750684 16188203 17500760 19688355 21000912 26251140 31501368 32376406 35001520 39376710 42001824 48564609 52502280 63002736 64752812 70003040 78753420 80941015 97129218 105004560 126005472 129505624 145693827 157506840 161882030 194258436 210009120 242823045 259011248 291387654 315013680 323764060 388516872 485646090 518022496 582775308 630027360 647528120 728469135 777033744 971292180 1165550616 1295056240 1456938270 1554067488 1942584360 2331101232 2590112480 2913876540 3885168720 4662202464 5827753080 7770337440 11655506160 23311012320