Search a number
-
+
210012102001200 = 24352334352351207
BaseRepresentation
bin101111110000000101000000…
…101111010000001000110000
31000112120221221110220200002110
4233300011000233100020300
5210011314241103014300
62022354121110245320
762143605444204342
oct5760050057201060
91015527843820073
10210012102001200
1160a096a5636a54
121b679904056840
139025096743555
1439c08d6123292
151942d6b6a0550
hexbf0140bd0230

210012102001200 has 120 divisors (see below), whose sum is σ = 672940017637888. Its totient is φ = 55986473744640.

The previous prime is 210012102001183. The next prime is 210012102001223. The reversal of 210012102001200 is 2100201210012.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22164004 + ... + 30187203.

Almost surely, 2210012102001200 is an apocalyptic number.

210012102001200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210012102001200 is an abundant number, since it is smaller than the sum of its proper divisors (462927915636688).

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

210012102001200 is a wasteful number, since it uses less digits than its factorization.

210012102001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52354571 (or 52354560 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210012102001200 its reverse (2100201210012), we get a palindrome (212112303211212).

The spelling of 210012102001200 in words is "two hundred ten trillion, twelve billion, one hundred two million, one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 3343 6686 10029 13372 16715 20058 26744 33430 40116 50145 53488 66860 80232 83575 100290 133720 160464 167150 200580 250725 267440 334300 401160 501450 668600 802320 1002900 1337200 2005800 4011600 52351207 104702414 157053621 209404828 261756035 314107242 418809656 523512070 628214484 785268105 837619312 1047024140 1256428968 1308780175 1570536210 2094048280 2512857936 2617560350 3141072420 3926340525 4188096560 5235120700 6282144840 7852681050 10470241400 12564289680 15705362100 20940482800 31410724200 62821448400 175010085001 350020170002 525030255003 700040340004 875050425005 1050060510006 1400080680008 1750100850010 2100121020012 2625151275015 2800161360016 3500201700020 4200242040024 4375252125025 5250302550030 7000403400040 8400484080048 8750504250050 10500605100060 13125756375075 14000806800080 17501008500100 21001210200120 26251512750150 35002017000200 42002420400240 52503025500300 70004034000400 105006051000600 210012102001200