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2100012210 = 2335174111159
BaseRepresentation
bin111110100101011…
…1010010010110010
312102100112200012000
41331022322102302
513300100342320
6544214314430
7103016544402
oct17512722262
95370480160
102100012210
1198844728a
124a7358a16
132760c359a
1415cc90802
15c456ac90
hex7d2ba4b2

2100012210 has 128 divisors (see below), whose sum is σ = 6074611200. Its totient is φ = 514160640.

The previous prime is 2100012197. The next prime is 2100012247. The reversal of 2100012210 is 122100012.

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

2100012210 is a modest number, since divided by 12210 gives 2100 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2100012192 and 2100012201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182611 + ... + 193769.

It is an arithmetic number, because the mean of its divisors is an integer number (47457900).

Almost surely, 22100012210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037305600).

2100012210 is an abundant number, since it is smaller than the sum of its proper divisors (3974598990).

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

2100012210 is a wasteful number, since it uses less digits than its factorization.

2100012210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233 (or 11227 counting only the distinct ones).

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

The square root of 2100012210 is about 45825.8901713867. The cubic root of 2100012210 is about 1280.5816468671.

Adding to 2100012210 its reverse (122100012), we get a palindrome (2222112222).

The spelling of 2100012210 in words is "two billion, one hundred million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 41 45 51 54 82 85 90 102 123 135 153 170 205 246 255 270 306 369 410 459 510 615 697 738 765 918 1107 1230 1394 1530 1845 2091 2214 2295 3485 3690 4182 4590 5535 6273 6970 10455 11070 11159 12546 18819 20910 22318 31365 33477 37638 55795 62730 66954 94095 100431 111590 167385 188190 189703 200862 301293 334770 379406 457519 502155 569109 602586 915038 948515 1004310 1138218 1372557 1506465 1707327 1897030 2287595 2745114 2845545 3012930 3414654 4117671 4575190 5121981 5691090 6862785 7777823 8235342 8536635 10243962 12353013 13725570 15555646 17073270 20588355 23333469 24706026 25609905 38889115 41176710 46666938 51219810 61765065 70000407 77778230 116667345 123530130 140000814 210001221 233334690 350002035 420002442 700004070 1050006105 2100012210