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20401344200 = 2352102006721
BaseRepresentation
bin10011000000000000…
…111100111011001000
31221122210201122222202
4103000000330323020
5313240221003300
613212223335332
71321364364416
oct230000747310
957583648882
1020401344200
11871a032946
123b54451548
131c0189a003
14db771a2b6
157e60e7ad5
hex4c003cec8

20401344200 has 24 divisors (see below), whose sum is σ = 47433125730. Its totient is φ = 8160537600.

The previous prime is 20401344199. The next prime is 20401344217. The reversal of 20401344200 is 244310402.

It can be written as a sum of positive squares in 3 ways, for example, as 17624686564 + 2776657636 = 132758^2 + 52694^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51003161 + ... + 51003560.

Almost surely, 220401344200 is an apocalyptic number.

20401344200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20401344200 is an abundant number, since it is smaller than the sum of its proper divisors (27031781530).

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

20401344200 is a wasteful number, since it uses less digits than its factorization.

20401344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102006737 (or 102006728 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 20401344200 its reverse (244310402), we get a palindrome (20645654602).

The spelling of 20401344200 in words is "twenty billion, four hundred one million, three hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 102006721 204013442 408026884 510033605 816053768 1020067210 2040134420 2550168025 4080268840 5100336050 10200672100 20401344200