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2042321144200 = 235210211605721
BaseRepresentation
bin11101101110000011110…
…100111000100110001000
321020020120212112201201021
4131232003310320212020
5231430133203103300
64202121314002224
7300360423203101
oct35560364704610
97206525481637
102042321144200
11718164051917
1228b995276374
1311a789482c2c
1470bc54313a8
15381d3660d1a
hex1db83d38988

2042321144200 has 24 divisors (see below), whose sum is σ = 4748396660730. Its totient is φ = 816928457600.

The previous prime is 2042321144141. The next prime is 2042321144207. The reversal of 2042321144200 is 24411232402.

It can be written as a sum of positive squares in 3 ways, for example, as 1860130465956 + 182190678244 = 1363866^2 + 426838^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2042321144207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5105802661 + ... + 5105803060.

Almost surely, 22042321144200 is an apocalyptic number.

2042321144200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2042321144200 is an abundant number, since it is smaller than the sum of its proper divisors (2706075516530).

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

2042321144200 is a wasteful number, since it uses less digits than its factorization.

2042321144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10211605737 (or 10211605728 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2042321144200 its reverse (24411232402), we get a palindrome (2066732376602).

The spelling of 2042321144200 in words is "two trillion, forty-two billion, three hundred twenty-one million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 10211605721 20423211442 40846422884 51058028605 81692845768 102116057210 204232114420 255290143025 408464228840 510580286050 1021160572100 2042321144200