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210212111100 = 2235217225118311
BaseRepresentation
bin1100001111000110011…
…1100100001011111100
3202002121001011200100110
43003301213210023330
511421003300023400
6240323051030020
721121152314445
oct3036147441374
9662531150313
10210212111100
1181172290442
12348a773b310
1316a90c44374
14a26249a2cc
155704c7ee50
hex30f19e42fc

210212111100 has 144 divisors (see below), whose sum is σ = 644312261376. Its totient is φ = 52732800000.

The previous prime is 210212111047. The next prime is 210212111119. The reversal of 210212111100 is 1111212012.

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

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, 11470945 + ... + 11489255.

It is an arithmetic number, because the mean of its divisors is an integer number (4474390704).

Almost surely, 2210212111100 is an apocalyptic number.

210212111100 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 210212111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322156130688).

210212111100 is an abundant number, since it is smaller than the sum of its proper divisors (434100150276).

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

210212111100 is a wasteful number, since it uses less digits than its factorization.

210212111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20596 (or 20589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 210212111100 its reverse (1111212012), we get a palindrome (211323323112).

The spelling of 210212111100 in words is "two hundred ten billion, two hundred twelve million, one hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 850 1020 1275 1700 2251 2550 4502 5100 6753 9004 11255 13506 18311 22510 27012 33765 36622 38267 45020 54933 56275 67530 73244 76534 91555 109866 112550 114801 135060 153068 168825 183110 191335 219732 225100 229602 274665 311287 337650 366220 382670 457775 459204 549330 574005 622574 675300 765340 915550 933861 956675 1098660 1148010 1245148 1373325 1556435 1831100 1867722 1913350 2296020 2746650 2870025 3112870 3735444 3826700 4669305 5493300 5740050 6225740 7782175 9338610 11480100 15564350 18677220 23346525 31128700 41218061 46693050 82436122 93386100 123654183 164872244 206090305 247308366 412180610 494616732 618270915 700707037 824361220 1030451525 1236541830 1401414074 2060903050 2102121111 2473083660 2802828148 3091354575 3503535185 4121806100 4204242222 6182709150 7007070370 8408484444 10510605555 12365418300 14014140740 17517675925 21021211110 35035351850 42042422220 52553027775 70070703700 105106055550 210212111100