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200221201020 = 223531271397217
BaseRepresentation
bin1011101001111000011…
…1010001001001111100
3201010210202111212020210
42322132013101021330
511240023111413040
6231551431112420
720315445061641
oct2723607211174
9633722455223
10200221201020
1177a05714865
1232979812710
1315b5b0ba459
149995621dc8
15531caba480
hex2e9e1d127c

200221201020 has 96 divisors (see below), whose sum is σ = 580840759296. Its totient is φ = 51479193600.

The previous prime is 200221201003. The next prime is 200221201027. The reversal of 200221201020 is 20102122002.

200221201020 is digitally balanced in base 3, because in such base 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 200221200987 and 200221201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200221201027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305452 + ... + 702668.

It is an arithmetic number, because the mean of its divisors is an integer number (6050424576).

Almost surely, 2200221201020 is an apocalyptic number.

200221201020 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 200221201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290420379648).

200221201020 is an abundant number, since it is smaller than the sum of its proper divisors (380619558276).

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

200221201020 is a wasteful number, since it uses less digits than its factorization.

200221201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397531 (or 397529 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200221201020 its reverse (20102122002), we get a palindrome (220323323022).

The spelling of 200221201020 in words is "two hundred billion, two hundred twenty-one million, two hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 271 310 372 465 542 620 813 930 1084 1355 1626 1860 2710 3252 4065 5420 8130 8401 16260 16802 25203 33604 42005 50406 84010 100812 126015 168020 252030 397217 504060 794434 1191651 1588868 1986085 2383302 3972170 4766604 5958255 7944340 11916510 12313727 23833020 24627454 36941181 49254908 61568635 73882362 107645807 123137270 147764724 184705905 215291614 246274540 322937421 369411810 430583228 538229035 645874842 738823620 1076458070 1291749684 1614687105 2152916140 3229374210 3337020017 6458748420 6674040034 10011060051 13348080068 16685100085 20022120102 33370200170 40044240204 50055300255 66740400340 100110600510 200221201020