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1021201100200 = 23525813878377
BaseRepresentation
bin11101101110001000101…
…01000010110110101000
310121121220021000220110101
432313010111002312220
5113212404440201300
62101044443355144
7133531213062541
oct16670425026650
93547807026411
101021201100200
113640a8442306
12145aba222ab4
13753b6761648
14375d80674c8
151b86cb88b6a
hexedc4542da8

1021201100200 has 48 divisors (see below), whose sum is σ = 2374703706780. Its totient is φ = 408409704960.

The previous prime is 1021201100119. The next prime is 1021201100203. The reversal of 1021201100200 is 20011021201.

It can be written as a sum of positive squares in 6 ways, for example, as 346631272516 + 674569827684 = 588754^2 + 821322^2 .

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 (1021201100203) 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 11 ways as a sum of consecutive naturals, for example, 723412 + ... + 1601788.

Almost surely, 21021201100200 is an apocalyptic number.

1021201100200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021201100200 is an abundant number, since it is smaller than the sum of its proper divisors (1353502606580).

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

1021201100200 is a wasteful number, since it uses less digits than its factorization.

1021201100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884206 (or 884197 counting only the distinct ones).

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

Adding to 1021201100200 its reverse (20011021201), we get a palindrome (1041212121401).

The spelling of 1021201100200 in words is "one trillion, twenty-one billion, two hundred one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5813 11626 23252 29065 46504 58130 116260 145325 232520 290650 581300 878377 1162600 1756754 3513508 4391885 7027016 8783770 17567540 21959425 35135080 43918850 87837700 175675400 5106005501 10212011002 20424022004 25530027505 40848044008 51060055010 102120110020 127650137525 204240220040 255300275050 510600550100 1021201100200