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1023112341200 = 24522557780853
BaseRepresentation
bin11101110001101100011…
…11110110011011010000
310121210211110101000020002
432320312033312123100
5113230313224404300
62102002240105132
7133626451260665
oct16706617663320
93553743330202
101023112341200
11364999275a24
121463523051a8
137562c6cc891
1437739c19a6c
151b9308675d5
hexee363f66d0

1023112341200 has 30 divisors (see below), whose sum is σ = 2458027400694. Its totient is φ = 409244936320.

The previous prime is 1023112341193. The next prime is 1023112341227. The reversal of 1023112341200 is 21432113201.

It can be written as a sum of positive squares in 3 ways, for example, as 2115264064 + 1020997077136 = 45992^2 + 1010444^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1278890027 + ... + 1278890826.

Almost surely, 21023112341200 is an apocalyptic number.

1023112341200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023112341200 is an abundant number, since it is smaller than the sum of its proper divisors (1434915059494).

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

1023112341200 is a wasteful number, since it uses less digits than its factorization.

1023112341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557780871 (or 2557780860 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1023112341200 its reverse (21432113201), we get a palindrome (1044544454401).

The spelling of 1023112341200 in words is "one trillion, twenty-three billion, one hundred twelve million, three hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2557780853 5115561706 10231123412 12788904265 20462246824 25577808530 40924493648 51155617060 63944521325 102311234120 127889042650 204622468240 255778085300 511556170600 1023112341200