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200001101020 = 22573167687809
BaseRepresentation
bin1011101001000011111…
…1101001110011011100
3201010020102100121210221
42322100333221303130
511234100240213040
6231513525411124
720310133210660
oct2722077516334
9633212317727
10200001101020
1177902453436
1232917b69aa4
1315b24616376
1499742ca8a0
1553085e074a
hex2e90fe9cdc

200001101020 has 96 divisors (see below), whose sum is σ = 502882652160. Its totient is φ = 65369272320.

The previous prime is 200001101017. The next prime is 200001101059. The reversal of 200001101020 is 20101100002.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 200001100994 and 200001101012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53125 + ... + 634684.

It is an arithmetic number, because the mean of its divisors is an integer number (5238360960).

Almost surely, 2200001101020 is an apocalyptic number.

200001101020 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 200001101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251441326080).

200001101020 is an abundant number, since it is smaller than the sum of its proper divisors (302881551140).

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

200001101020 is a wasteful number, since it uses less digits than its factorization.

200001101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687923 (or 687921 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 200001101020 its reverse (20101100002), we get a palindrome (220102201022).

The spelling of 200001101020 in words is "two hundred billion, one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 67 70 124 134 140 155 217 268 310 335 434 469 620 670 868 938 1085 1340 1876 2077 2170 2345 4154 4340 4690 8308 9380 10385 14539 20770 29078 41540 58156 72695 145390 290780 687809 1375618 2751236 3439045 4814663 6878090 9629326 13756180 19258652 21322079 24073315 42644158 46083203 48146630 85288316 92166406 96293260 106610395 149254553 184332812 213220790 230416015 298509106 322582421 426441580 460832030 597018212 645164842 746272765 921664060 1290329684 1428579293 1492545530 1612912105 2857158586 2985091060 3225824210 5714317172 6451648420 7142896465 10000055051 14285792930 20000110102 28571585860 40000220204 50000275255 100000550510 200001101020