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10020210200200 = 2352791314841149
BaseRepresentation
bin1001000111010000001100…
…0100011100111010001000
31022110220220200021210112201
42101310003010130322020
52303132342302401300
633151115423445544
72052636102250624
oct221640304347210
938426820253481
1010020210200200
113213602482612
121159b981568b4
13578b9524c175
14268da32d0184
151259ae38066a
hex91d0311ce88

10020210200200 has 96 divisors (see below), whose sum is σ = 23771982960000. Its totient is φ = 3927139257600.

The previous prime is 10020210200197. The next prime is 10020210200201. The reversal of 10020210200200 is 200201202001.

It is a super-4 number, since 4×100202102002004 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10020210200201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 350775 + ... + 4490374.

It is an arithmetic number, because the mean of its divisors is an integer number (247624822500).

Almost surely, 210020210200200 is an apocalyptic number.

10020210200200 is a gapful number since it is divisible by the number (10) 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 10020210200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885991480000).

10020210200200 is an abundant number, since it is smaller than the sum of its proper divisors (13751772759800).

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

10020210200200 is a wasteful number, since it uses less digits than its factorization.

10020210200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841375 (or 4841366 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10020210200200 its reverse (200201202001), we get a palindrome (10220411402201).

The spelling of 10020210200200 in words is "ten trillion, twenty billion, two hundred ten million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 131 158 200 262 316 395 524 632 655 790 1048 1310 1580 1975 2620 3160 3275 3950 5240 6550 7900 10349 13100 15800 20698 26200 41396 51745 82792 103490 206980 258725 413960 517450 1034900 2069800 4841149 9682298 19364596 24205745 38729192 48411490 96822980 121028725 193645960 242057450 382450771 484114900 634190519 764901542 968229800 1268381038 1529803084 1912253855 2536762076 3059606168 3170952595 3824507710 5073524152 6341905190 7649015420 9561269275 12683810380 15298030840 15854762975 19122538550 25367620760 31709525950 38245077100 50101051001 63419051900 76490154200 100202102002 126838103800 200404204004 250505255005 400808408008 501010510010 1002021020020 1252526275025 2004042040040 2505052550050 5010105100100 10020210200200