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21320212320 = 25325111345973
BaseRepresentation
bin10011110110110010…
…001001111101100000
32001000211202000002100
4103312302021331200
5322130433243240
613443330050400
71353222546261
oct236662117540
961024660070
1021320212320
119050782090
124170119a00
13201a06b864
141063788968
1584baeee30
hex4f6c89f60

21320212320 has 144 divisors (see below), whose sum is σ = 79369394832. Its totient is φ = 5168532480.

The previous prime is 21320212307. The next prime is 21320212327. The reversal of 21320212320 is 2321202312.

21320212320 is a `hidden beast` number, since 2 + 1 + 320 + 21 + 2 + 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 = 21320212293 and 21320212302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320212327) 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, 657147 + ... + 688826.

It is an arithmetic number, because the mean of its divisors is an integer number (551176353).

Almost surely, 221320212320 is an apocalyptic number.

21320212320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21320212320 is an abundant number, since it is smaller than the sum of its proper divisors (58049182512).

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

21320212320 is a wasteful number, since it uses less digits than its factorization.

21320212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346005 (or 1345994 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21320212320 its reverse (2321202312), we get a palindrome (23641414632).

It can be divided in two parts, 213202 and 12320, that added together give a palindrome (225522).

The spelling of 21320212320 in words is "twenty-one billion, three hundred twenty million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 32 33 36 40 44 45 48 55 60 66 72 80 88 90 96 99 110 120 132 144 160 165 176 180 198 220 240 264 288 330 352 360 396 440 480 495 528 660 720 792 880 990 1056 1320 1440 1584 1760 1980 2640 3168 3960 5280 7920 15840 1345973 2691946 4037919 5383892 6729865 8075838 10767784 12113757 13459730 14805703 16151676 20189595 21535568 24227514 26919460 29611406 32303352 40379190 43071136 44417109 48455028 53838920 59222812 60568785 64606704 74028515 80758380 88834218 96910056 107677840 118445624 121137570 129213408 133251327 148057030 161516760 177668436 193820112 215355680 222085545 236891248 242275140 266502654 296114060 323033520 355336872 387640224 444171090 473782496 484550280 533005308 592228120 646067040 666256635 710673744 888342180 969100560 1066010616 1184456240 1332513270 1421347488 1776684360 1938201120 2132021232 2368912480 2665026540 3553368720 4264042464 5330053080 7106737440 10660106160 21320212320