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20302223130 = 234576158699
BaseRepresentation
bin10010111010000110…
…110101011100011010
31221101220012210110000
4102322012311130122
5313034332120010
613154323033430
71316052022620
oct227206653432
957356183400
1020302223130
118679091802
123b2720b876
131bb71a35a7
14da84b7510
157dc5687c0
hex4ba1b571a

20302223130 has 160 divisors (see below), whose sum is σ = 63412905600. Its totient is φ = 4564356480.

The previous prime is 20302223023. The next prime is 20302223141. The reversal of 20302223130 is 3132220302.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 316521 + ... + 375219.

It is an arithmetic number, because the mean of its divisors is an integer number (396330660).

Almost surely, 220302223130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20302223130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31706452800).

20302223130 is an abundant number, since it is smaller than the sum of its proper divisors (43110682470).

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

20302223130 is a wasteful number, since it uses less digits than its factorization.

20302223130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58786 (or 58777 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20302223130 its reverse (3132220302), we get a palindrome (23434443432).

The spelling of 20302223130 in words is "twenty billion, three hundred two million, two hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 81 90 105 122 126 135 162 183 189 210 270 305 315 366 378 405 427 549 567 610 630 810 854 915 945 1098 1134 1281 1647 1830 1890 2135 2562 2745 2835 3294 3843 4270 4941 5490 5670 6405 7686 8235 9882 11529 12810 16470 19215 23058 24705 34587 38430 49410 57645 58699 69174 115290 117398 172935 176097 293495 345870 352194 410893 528291 586990 821786 880485 1056582 1232679 1584873 1760970 2054465 2465358 2641455 3169746 3580639 3698037 4108930 4754619 5282910 6163395 7161278 7396074 7924365 9509238 10741917 11094111 12326790 15848730 17903195 18490185 21483834 22188222 23773095 25064473 32225751 33282333 35806390 36980370 47546190 50128946 53709585 55470555 64451502 66564666 75193419 96677253 107419170 110941110 125322365 150386838 161128755 166411665 193354506 225580257 250644730 290031759 322257510 332823330 375967095 451160514 483386265 580063518 676740771 751934190 966772530 1127901285 1353481542 1450158795 2030222313 2255802570 2900317590 3383703855 4060444626 6767407710 10151111565 20302223130