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210101200110 = 23355930742961
BaseRepresentation
bin1100001110101100000…
…0011110010011101110
3202002022022110211002000
43003223000132103232
511420241401400420
6240304045513130
721115334510004
oct3035300362356
9662268424060
10210101200110
118111571736a
12348765727a6
1316a73c80469
14a251868a74
1556ea172690
hex30eb01e4ee

210101200110 has 128 divisors (see below), whose sum is σ = 571635187200. Its totient is φ = 54896693760.

The previous prime is 210101200097. The next prime is 210101200117. The reversal of 210101200110 is 11002101012.

It is a happy number.

210101200110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 210101200092 and 210101200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210101200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4869030 + ... + 4911990.

It is an arithmetic number, because the mean of its divisors is an integer number (4465899900).

Almost surely, 2210101200110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210101200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285817593600).

210101200110 is an abundant number, since it is smaller than the sum of its proper divisors (361533987090).

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

210101200110 is a wasteful number, since it uses less digits than its factorization.

210101200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43343 (or 43337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210101200110 its reverse (11002101012), we get a palindrome (221103301122).

The spelling of 210101200110 in words is "two hundred ten billion, one hundred one million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 59 90 118 135 177 270 295 307 354 531 590 614 885 921 1062 1535 1593 1770 1842 2655 2763 3070 3186 4605 5310 5526 7965 8289 9210 13815 15930 16578 18113 27630 36226 41445 42961 54339 82890 85922 90565 108678 128883 163017 181130 214805 257766 271695 326034 386649 429610 489051 543390 644415 773298 815085 978102 1159947 1288830 1630170 1933245 2319894 2445255 2534699 3866490 4890510 5069398 5799735 7604097 11599470 12673495 13189027 15208194 22812291 25346990 26378054 38020485 39567081 45624582 65945135 68436873 76040970 79134162 114061455 118701243 131890270 136873746 197835405 228122910 237402486 342184365 356103729 395670810 593506215 684368730 712207458 778152593 1187012430 1556305186 1780518645 2334457779 3561037290 3890762965 4668915558 7003373337 7781525930 11672288895 14006746674 21010120011 23344577790 35016866685 42020240022 70033733370 105050600055 210101200110