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20041313000 = 2353193103841
BaseRepresentation
bin10010101010100011…
…100010101011101000
31220201201021012000212
4102222203202223220
5312021034004000
613112402520252
71306433230652
oct225243425350
956651235025
1020041313000
1185548870a5
123a73966088
131b75110cb7
14d8199b6d2
157c46cbc35
hex4aa8e2ae8

20041313000 has 64 divisors (see below), whose sum is σ = 47140114320. Its totient is φ = 7974912000.

The previous prime is 20041312987. The next prime is 20041313003. The reversal of 20041313000 is 31314002.

It can be written as a sum of positive squares in 8 ways, for example, as 235254244 + 19806058756 = 15338^2 + 140734^2 .

It is not an unprimeable number, because it can be changed into a prime (20041313003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141080 + ... + 244920.

Almost surely, 220041313000 is an apocalyptic number.

20041313000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20041313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23570057160).

20041313000 is an abundant number, since it is smaller than the sum of its proper divisors (27098801320).

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

20041313000 is a wasteful number, since it uses less digits than its factorization.

20041313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104055 (or 104041 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 20041313000 its reverse (31314002), we get a palindrome (20072627002).

The spelling of 20041313000 in words is "twenty billion, forty-one million, three hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 193 200 250 386 500 772 965 1000 1544 1930 3860 4825 7720 9650 19300 24125 38600 48250 96500 103841 193000 207682 415364 519205 830728 1038410 2076820 2596025 4153640 5192050 10384100 12980125 20041313 20768200 25960250 40082626 51920500 80165252 100206565 103841000 160330504 200413130 400826260 501032825 801652520 1002065650 2004131300 2505164125 4008262600 5010328250 10020656500 20041313000