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210010021000200 = 233252127918679007
BaseRepresentation
bin101111110000000011000100…
…101100110111010000001000
31000112120202120110010212101100
4233300003010230313100020
5210011301010334001300
62022353134411221400
762143503045040131
oct5760030454672010
91015522513125340
10210010021000200
1160a088279a5113
121b679423147860
139024b24578305
1439c07799c0c88
151942c98b3c700
hexbf00c4b37408

210010021000200 has 144 divisors (see below), whose sum is σ = 710837069230080. Its totient is φ = 55561706282880.

The previous prime is 210010021000147. The next prime is 210010021000217. The reversal of 210010021000200 is 2000120010012.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459110904 + ... + 459568103.

It is an arithmetic number, because the mean of its divisors is an integer number (4936368536320).

Almost surely, 2210010021000200 is an apocalyptic number.

210010021000200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010021000200 is an abundant number, since it is smaller than the sum of its proper divisors (500827048229880).

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

210010021000200 is a wasteful number, since it uses less digits than its factorization.

210010021000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918679156 (or 918679144 counting only the distinct ones).

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

Adding to 210010021000200 its reverse (2000120010012), we get a palindrome (212010141010212).

The spelling of 210010021000200 in words is "two hundred ten trillion, ten billion, twenty-one million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 127 150 180 200 225 254 300 360 381 450 508 600 635 762 900 1016 1143 1270 1524 1800 1905 2286 2540 3048 3175 3810 4572 5080 5715 6350 7620 9144 9525 11430 12700 15240 19050 22860 25400 28575 38100 45720 57150 76200 114300 228600 918679007 1837358014 2756037021 3674716028 4593395035 5512074042 7349432056 8268111063 9186790070 11024148084 13780185105 16536222126 18373580140 22048296168 22966975175 27560370210 33072444252 36747160280 41340555315 45933950350 55120740420 66144888504 68900925525 82681110630 91867900700 110241480840 116672233889 137801851050 165362221260 183735801400 206702776575 233344467778 275603702100 330724442520 350016701667 413405553150 466688935556 551207404200 583361169445 700033403334 826811106300 933377871112 1050050105001 1166722338890 1400066806668 1653622212600 1750083508335 2100100210002 2333444677780 2800133613336 2916805847225 3500167016670 4200200420004 4666889355560 5250250525005 5833611694450 7000334033340 8400400840008 8750417541675 10500501050010 11667223388900 14000668066680 17500835083350 21001002100020 23334446777800 26251252625025 35001670166700 42002004200040 52502505250050 70003340333400 105005010500100 210010021000200