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200011021020 = 2232531137261637
BaseRepresentation
bin1011101001000110010…
…1011111101011011100
3201010021010000121111100
42322101211133223130
511234110310133040
6231514522153100
720310313425156
oct2722145375334
9633233017440
10200011021020
1177908009488
123291b352790
1315b266aa6a5
14997574dad6
1553093eeb30
hex2e9195fadc

200011021020 has 144 divisors (see below), whose sum is σ = 630844800768. Its totient is φ = 51238794240.

The previous prime is 200011021013. The next prime is 200011021031. The reversal of 200011021020 is 20120110002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 200011020993 and 200011021011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633642 + ... + 895278.

It is an arithmetic number, because the mean of its divisors is an integer number (4380866672).

Almost surely, 2200011021020 is an apocalyptic number.

200011021020 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 200011021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315422400384).

200011021020 is an abundant number, since it is smaller than the sum of its proper divisors (430833779748).

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

200011021020 is a wasteful number, since it uses less digits than its factorization.

200011021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261820 (or 261815 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200011021020 its reverse (20120110002), we get a palindrome (220131131022).

The spelling of 200011021020 in words is "two hundred billion, eleven million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 137 155 180 186 274 279 310 372 411 465 548 558 620 685 822 930 1116 1233 1370 1395 1644 1860 2055 2466 2740 2790 4110 4247 4932 5580 6165 8220 8494 12330 12741 16988 21235 24660 25482 38223 42470 50964 63705 76446 84940 127410 152892 191115 254820 261637 382230 523274 764460 784911 1046548 1308185 1569822 2354733 2616370 3139644 3924555 4709466 5232740 7849110 8110747 9418932 11773665 15698220 16221494 23547330 24332241 32442988 35844269 40553735 47094660 48664482 71688538 72996723 81107470 97328964 107532807 121661205 143377076 145993446 162214940 179221345 215065614 243322410 291986892 322598421 358442690 364983615 430131228 486644820 537664035 645196842 716885380 729967230 1075328070 1111172339 1290393684 1459934460 1612992105 2150656140 2222344678 3225984210 3333517017 4444689356 5555861695 6451968420 6667034034 10000551051 11111723390 13334068068 16667585085 20001102102 22223446780 33335170170 40002204204 50002755255 66670340340 100005510510 200011021020