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212030021000 = 23537271111173
BaseRepresentation
bin1100010101110111111…
…0010101110110001000
3202021021201220001220202
43011131332111312020
511433214141133000
6241223311111332
721214205304350
oct3053576256610
9667251801822
10212030021000
1181a15468016
1235114512548
1316cc07653b5
14a395ab5b60
1557ae674dd5
hex315df95d88

212030021000 has 128 divisors (see below), whose sum is σ = 567288783360. Its totient is φ = 72662688000.

The previous prime is 212030020999. The next prime is 212030021011. The reversal of 212030021000 is 120030212.

It is a happy 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, 18971414 + ... + 18982586.

It is an arithmetic number, because the mean of its divisors is an integer number (4431943620).

Almost surely, 2212030021000 is an apocalyptic number.

212030021000 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 212030021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283644391680).

212030021000 is an abundant number, since it is smaller than the sum of its proper divisors (355258762360).

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

212030021000 is a wasteful number, since it uses less digits than its factorization.

212030021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13912 (or 13898 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 212030021000 its reverse (120030212), we get a palindrome (212150051212).

The spelling of 212030021000 in words is "two hundred twelve billion, thirty million, twenty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2711 3500 5422 7000 10844 11173 13555 18977 21688 22346 27110 37954 44692 54220 55865 67775 75908 78211 89384 94885 108440 111730 135550 151816 156422 189770 223460 271100 279325 312844 338875 379540 391055 446920 474425 542200 558650 625688 677750 759080 782110 948850 1117300 1355500 1396625 1564220 1897700 1955275 2234600 2372125 2711000 2793250 3128440 3795400 3910550 4744250 5586500 7821100 9488500 9776375 11173000 15642200 18977000 19552750 30290003 39105500 60580006 78211000 121160012 151450015 212030021 242320024 302900030 424060042 605800060 757250075 848120084 1060150105 1211600120 1514500150 1696240168 2120300210 3029000300 3786250375 4240600420 5300750525 6058000600 7572500750 8481200840 10601501050 15145001500 21203002100 26503752625 30290003000 42406004200 53007505250 106015010500 212030021000