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2131322200 = 2352710115073
BaseRepresentation
bin111111100001001…
…0110010101011000
312111112110101102021
41333002112111120
513331104302300
6551253344224
7103546640230
oct17702262530
95445411367
102131322200
119a4091a07
124b5938074
1327c7368c7
141630c0cc0
15c71a2d1a
hex7f096558

2131322200 has 96 divisors (see below), whose sum is σ = 5719678560. Its totient is φ = 723456000.

The previous prime is 2131322191. The next prime is 2131322203. The reversal of 2131322200 is 22231312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131322203) 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, 133864 + ... + 148936.

It is an arithmetic number, because the mean of its divisors is an integer number (59579985).

Almost surely, 22131322200 is an apocalyptic number.

2131322200 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 2131322200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859839280).

2131322200 is an abundant number, since it is smaller than the sum of its proper divisors (3588356360).

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

2131322200 is a wasteful number, since it uses less digits than its factorization.

2131322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15197 (or 15188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2131322200 is about 46166.2452447673. The cubic root of 2131322200 is about 1286.9145256467.

Adding to 2131322200 its reverse (22231312), we get a palindrome (2153553512).

The spelling of 2131322200 in words is "two billion, one hundred thirty-one million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 101 140 175 200 202 280 350 404 505 700 707 808 1010 1400 1414 2020 2525 2828 3535 4040 5050 5656 7070 10100 14140 15073 17675 20200 28280 30146 35350 60292 70700 75365 105511 120584 141400 150730 211022 301460 376825 422044 527555 602920 753650 844088 1055110 1507300 1522373 2110220 2637775 3014600 3044746 4220440 5275550 6089492 7611865 10551100 10656611 12178984 15223730 21102200 21313222 30447460 38059325 42626444 53283055 60894920 76118650 85252888 106566110 152237300 213132220 266415275 304474600 426264440 532830550 1065661100 2131322200