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2010101010200 = 2352471012117233
BaseRepresentation
bin11101010000000011010…
…110110100111100011000
321010011102101200100000222
4131100003112310330120
5230413141324311300
64135232212415212
7265140114450263
oct35200326647430
97104371610028
102010101010200
1170552a6872a8
122856a2917508
1311772315a09a
146d40a1c7cda
1537449b8e785
hex1d4035b4f18

2010101010200 has 96 divisors (see below), whose sum is σ = 4820179613760. Its totient is φ = 779141376000.

The previous prime is 2010101010193. The next prime is 2010101010259. The reversal of 2010101010200 is 20101010102.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 109217 + ... + 2008016.

It is an arithmetic number, because the mean of its divisors is an integer number (50210204310).

Almost surely, 22010101010200 is an apocalyptic number.

2010101010200 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 2010101010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2410089806880).

2010101010200 is an abundant number, since it is smaller than the sum of its proper divisors (2810078603560).

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

2010101010200 is a wasteful number, since it uses less digits than its factorization.

2010101010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117397 (or 2117388 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2010101010200 its reverse (20101010102), we get a palindrome (2030202020302).

2010101010200 divided by its reverse (20101010102) gives a square (100 = 102).

The spelling of 2010101010200 in words is "two trillion, ten billion, one hundred one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 101 188 200 202 235 376 404 470 505 808 940 1010 1175 1880 2020 2350 2525 4040 4700 4747 5050 9400 9494 10100 18988 20200 23735 37976 47470 94940 118675 189880 237350 474700 949400 2117233 4234466 8468932 10586165 16937864 21172330 42344660 52930825 84689320 99509951 105861650 199019902 211723300 213840533 398039804 423446600 427681066 497549755 796079608 855362132 995099510 1069202665 1710724264 1990199020 2138405330 2487748775 3980398040 4276810660 4975497550 5346013325 8553621320 9950995100 10050505051 10692026650 19901990200 20101010102 21384053300 40202020204 42768106600 50252525255 80404040408 100505050510 201010101020 251262626275 402020202040 502525252550 1005050505100 2010101010200