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1012100012200 = 235210150103961
BaseRepresentation
bin11101011101001011101…
…11001001100010101000
310120202101222201201210001
432232211313021202220
5113040240100342300
62052541411432344
7133056532105354
oct16564567114250
93522358651701
101012100012200
11360258087182
1214419a2b56b4
1374596079584
1436db345a464
151b4d8b9016a
hexeba5dc98a8

1012100012200 has 48 divisors (see below), whose sum is σ = 2376430917660. Its totient is φ = 400831680000.

The previous prime is 1012100012107. The next prime is 1012100012251. The reversal of 1012100012200 is 22100012101.

It can be written as a sum of positive squares in 6 ways, for example, as 530511203044 + 481588809156 = 728362^2 + 693966^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25031781 + ... + 25072180.

Almost surely, 21012100012200 is an apocalyptic number.

1012100012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012100012200 is an abundant number, since it is smaller than the sum of its proper divisors (1364330905460).

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

1012100012200 is a wasteful number, since it uses less digits than its factorization.

1012100012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50104078 (or 50104069 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012100012200 its reverse (22100012101), we get a palindrome (1034200024301).

Subtracting from 1012100012200 its reverse (22100012101), we obtain a palindrome (990000000099).

The spelling of 1012100012200 in words is "one trillion, twelve billion, one hundred million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 505 808 1010 2020 2525 4040 5050 10100 20200 50103961 100207922 200415844 250519805 400831688 501039610 1002079220 1252599025 2004158440 2505198050 5010396100 5060500061 10020792200 10121000122 20242000244 25302500305 40484000488 50605000610 101210001220 126512501525 202420002440 253025003050 506050006100 1012100012200