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100000021012200 = 233252371501501817
BaseRepresentation
bin10110101111001100010001…
…101110101101111011101000
3111010001220112101212001121100
4112233030101232231323220
5101101400020334342300
6552403213033041400
730030522512555301
oct2657142156557350
9433056471761540
10100000021012200
1129954852958a31
12b270810856260
1343a4c665c1cba
141a9a0539217a8
15b8636b570700
hex5af311badee8

100000021012200 has 144 divisors (see below), whose sum is σ = 344909982612780. Its totient is φ = 25945951380480.

The previous prime is 100000021012187. The next prime is 100000021012219. The reversal of 100000021012200 is 2210120000001.

It can be written as a sum of positive squares in 6 ways, for example, as 58866243484356 + 41133777527844 = 7672434^2 + 6413562^2 .

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, 750684309 + ... + 750817508.

Almost surely, 2100000021012200 is an apocalyptic number.

100000021012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000021012200 is an abundant number, since it is smaller than the sum of its proper divisors (244909961600580).

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

100000021012200 is a wasteful number, since it uses less digits than its factorization.

100000021012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501501876 (or 1501501864 counting only the distinct ones).

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

Adding to 100000021012200 its reverse (2210120000001), we get a palindrome (102210141012201).

The spelling of 100000021012200 in words is "one hundred trillion, twenty-one million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 1501501817 3003003634 4504505451 6006007268 7507509085 9009010902 12012014536 13513516353 15015018170 18018021804 22522527255 27027032706 30030036340 36036043608 37537545425 45045054510 54054065412 55555567229 60060072680 67567581765 75075090850 90090109020 108108130824 111111134458 112612636275 135135163530 150150181700 166666701687 180180218040 222222268916 225225272550 270270327060 277777836145 300300363400 333333403374 337837908825 444444537832 450450545100 500000105061 540540654120 555555672290 666666806748 675675817650 833333508435 900901090200 1000000210122 1111111344580 1333333613496 1351351635300 1388889180725 1666667016870 2000000420244 2222222689160 2500000525305 2702703270600 2777778361450 3333334033740 4000000840488 4166667542175 5000001050610 5555556722900 6666668067480 8333335084350 10000002101220 11111113445800 12500002626525 16666670168700 20000004202440 25000005253050 33333340337400 50000010506100 100000021012200