Search a number
-
+
21141022320 = 24325112669321
BaseRepresentation
bin10011101100000110…
…100110011001110000
32000120100120012121200
4103230012212121300
5321244100203240
613413445251200
71345615503405
oct235406463160
960510505550
1021141022320
118a69612a80
124120103b00
131cbbbbc582
141047a622ac
1583b006930
hex4ec1a6670

21141022320 has 120 divisors (see below), whose sum is σ = 77453047152. Its totient is φ = 5125094400.

The previous prime is 21141022313. The next prime is 21141022321. The reversal of 21141022320 is 2322014112.

It is a happy number.

21141022320 is a `hidden beast` number, since 2 + 11 + 410 + 223 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 21141022293 and 21141022302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21141022321) 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, 1326741 + ... + 1342580.

Almost surely, 221141022320 is an apocalyptic number.

21141022320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21141022320 is an abundant number, since it is smaller than the sum of its proper divisors (56312024832).

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

21141022320 is a wasteful number, since it uses less digits than its factorization.

21141022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669351 (or 2669342 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21141022320 its reverse (2322014112), we get a palindrome (23463036432).

The spelling of 21141022320 in words is "twenty-one billion, one hundred forty-one million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 2669321 5338642 8007963 10677284 13346605 16015926 21354568 24023889 26693210 29362531 32031852 40039815 42709136 48047778 53386420 58725062 64063704 80079630 88087593 96095556 106772840 117450124 120119445 128127408 146812655 160159260 176175186 192191112 213545680 234900248 240238890 264262779 293625310 320318520 352350372 384382224 440437965 469800496 480477780 528525558 587250620 640637040 704700744 880875930 960955560 1057051116 1174501240 1321313895 1409401488 1761751860 1921911120 2114102232 2349002480 2642627790 3523503720 4228204464 5285255580 7047007440 10570511160 21141022320