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2131322300 = 22521710711717
BaseRepresentation
bin111111100001001…
…0110010110111100
312111112110101112222
41333002112112330
513331104303200
6551253344512
7103546640432
oct17702262674
95445411488
102131322300
119a4091a98
124b5938138
1327c736973
141630c0d52
15c71a2d85
hex7f0965bc

2131322300 has 72 divisors (see below), whose sum is σ = 4943214864. Its totient is φ = 794813440.

The previous prime is 2131322293. The next prime is 2131322309. The reversal of 2131322300 is 32231312.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131322309) 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, 176042 + ... + 187758.

It is an arithmetic number, because the mean of its divisors is an integer number (68655762).

Almost surely, 22131322300 is an apocalyptic number.

2131322300 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 2131322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471607432).

2131322300 is an abundant number, since it is smaller than the sum of its proper divisors (2811892564).

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

2131322300 is a wasteful number, since it uses less digits than its factorization.

2131322300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11855 (or 11848 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2131322300 is about 46166.2463278097. The cubic root of 2131322300 is about 1286.9145457737.

Adding to 2131322300 its reverse (32231312), we get a palindrome (2163553612).

The spelling of 2131322300 in words is "two billion, one hundred thirty-one million, three hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 107 170 214 340 425 428 535 850 1070 1700 1819 2140 2675 3638 5350 7276 9095 10700 11717 18190 23434 36380 45475 46868 58585 90950 117170 181900 199189 234340 292925 398378 585850 796756 995945 1171700 1253719 1991890 2507438 3983780 4979725 5014876 6268595 9959450 12537190 19918900 21313223 25074380 31342975 42626446 62685950 85252892 106566115 125371900 213132230 426264460 532830575 1065661150 2131322300