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200100221020 = 225721918895689
BaseRepresentation
bin1011101001011011100…
…1110001000001011100
3201010111022212102220001
42322112321301001130
511234301124033040
6231531430104044
720312445546400
oct2722671610134
9633438772801
10200100221020
11779533a3797
12329451ab024
1315b3c00c45b
14998352d100
15531216e59a
hex2e96e7105c

200100221020 has 144 divisors (see below), whose sum is σ = 514906308000. Its totient is φ = 64949133312.

The previous prime is 200100221011. The next prime is 200100221033. The reversal of 200100221020 is 20122001002.

200100221020 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200100220988 and 200100221006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35170336 + ... + 35176024.

It is an arithmetic number, because the mean of its divisors is an integer number (3575738250).

Almost surely, 2200100221020 is an apocalyptic number.

200100221020 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 200100221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257453154000).

200100221020 is an abundant number, since it is smaller than the sum of its proper divisors (314806086980).

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

200100221020 is a wasteful number, since it uses less digits than its factorization.

200100221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7620 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 200100221020 its reverse (20122001002), we get a palindrome (220222222022).

The spelling of 200100221020 in words is "two hundred billion, one hundred million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 490 532 665 931 980 1330 1862 1889 2660 3724 3778 4655 5689 7556 9310 9445 11378 13223 18620 18890 22756 26446 28445 35891 37780 39823 52892 56890 66115 71782 79646 92561 108091 113780 132230 143564 159292 179455 185122 199115 216182 251237 264460 278761 358910 370244 398230 432364 462805 502474 540455 557522 717820 756637 796460 925610 1004948 1080910 1115044 1256185 1393805 1513274 1758659 1851220 2161820 2512370 2787610 3026548 3517318 3783185 5024740 5296459 5575220 7034636 7566370 8793295 10592918 10746521 15132740 17586590 21185836 21493042 26482295 35173180 42986084 52964590 53732605 75225647 105929180 107465210 150451294 204183899 214930420 300902588 376128235 408367798 526579529 752256470 816735596 1020919495 1053159058 1429287293 1504512940 2041838990 2106318116 2632897645 2858574586 4083677980 5265795290 5717149172 7146436465 10005011051 10531590580 14292872930 20010022102 28585745860 40020044204 50025055255 100050110510 200100221020