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2131303300 = 225275695351
BaseRepresentation
bin111111100001001…
…0001101110000100
312111112102102111021
41333002101232010
513331103201200
6551253120524
7103546531150
oct17702215604
95445372437
102131303300
119a4079795
124b5929144
1327c72b119
141630b8060
15c719c41a
hex7f091b84

2131303300 has 72 divisors (see below), whose sum is σ = 5295911040. Its totient is φ = 729312000.

The previous prime is 2131303297. The next prime is 2131303309. The reversal of 2131303300 is 33031312.

It is not an unprimeable number, because it can be changed into a prime (2131303309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395625 + ... + 400975.

It is an arithmetic number, because the mean of its divisors is an integer number (73554320).

Almost surely, 22131303300 is an apocalyptic number.

2131303300 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 2131303300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647955520).

2131303300 is an abundant number, since it is smaller than the sum of its proper divisors (3164607740).

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

2131303300 is a wasteful number, since it uses less digits than its factorization.

2131303300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5941 (or 5934 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 2131303300 is about 46166.0405493042. The cubic root of 2131303300 is about 1286.9107216299.

Adding to 2131303300 its reverse (33031312), we get a palindrome (2164334612).

The spelling of 2131303300 in words is "two billion, one hundred thirty-one million, three hundred three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 569 700 1138 2276 2845 3983 5351 5690 7966 10702 11380 14225 15932 19915 21404 26755 28450 37457 39830 53510 56900 74914 79660 99575 107020 133775 149828 187285 199150 267550 374570 398300 535100 749140 936425 1872850 3044719 3745700 6089438 12178876 15223595 21313033 30447190 42626066 60894380 76117975 85252132 106565165 152235950 213130330 304471900 426260660 532825825 1065651650 2131303300