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20103131200 = 265283151379
BaseRepresentation
bin10010101110001111…
…010111000001000000
31220220000120212122211
4102232033113001000
5312132400144300
613122451511504
71311113536645
oct225617270100
956800525584
1020103131200
11858676a019
123a905b8594
131b84b76709
14d89c8ddcc
157c9d3d4ba
hex4ae3d7040

20103131200 has 84 divisors (see below), whose sum is σ = 50062577040. Its totient is φ = 7944317440.

The previous prime is 20103131161. The next prime is 20103131201. The reversal of 20103131200 is 213130102.

It is not an unprimeable number, because it can be changed into a prime (20103131201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57111 + ... + 208489.

It is an arithmetic number, because the mean of its divisors is an integer number (595983060).

Almost surely, 220103131200 is an apocalyptic number.

20103131200 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 20103131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25031288520).

20103131200 is an abundant number, since it is smaller than the sum of its proper divisors (29959445840).

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

20103131200 is a wasteful number, since it uses less digits than its factorization.

20103131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151484 (or 151469 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 20103131200 its reverse (213130102), we get a palindrome (20316261302).

The spelling of 20103131200 in words is "twenty billion, one hundred three million, one hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 83 100 160 166 200 320 332 400 415 664 800 830 1328 1600 1660 2075 2656 3320 4150 5312 6640 8300 13280 16600 26560 33200 66400 132800 151379 302758 605516 756895 1211032 1513790 2422064 3027580 3784475 4844128 6055160 7568950 9688256 12110320 12564457 15137900 24220640 25128914 30275800 48441280 50257828 60551600 62822285 100515656 121103200 125644570 201031312 242206400 251289140 314111425 402062624 502578280 628222850 804125248 1005156560 1256445700 2010313120 2512891400 4020626240 5025782800 10051565600 20103131200