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2131353200 = 245221125253
BaseRepresentation
bin111111100001001…
…1101111001110000
312111112111221221102
41333002131321300
513331111300300
6551254143532
7103550126504
oct17702357160
95445457842
102131353200
119a4103229
124b5951ba8
1327c747a52
141630cc304
15c71ac0d5
hex7f09de70

2131353200 has 60 divisors (see below), whose sum is σ = 5145047928. Its totient is φ = 848467200.

The previous prime is 2131353193. The next prime is 2131353271. The reversal of 2131353200 is 23531312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71774 + ... + 97026.

Almost surely, 22131353200 is an apocalyptic number.

2131353200 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 2131353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572523964).

2131353200 is an abundant number, since it is smaller than the sum of its proper divisors (3013694728).

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

2131353200 is a wasteful number, since it uses less digits than its factorization.

2131353200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25482 (or 25471 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 2131353200 is about 46166.5809866834. The cubic root of 2131353200 is about 1286.9207649907.

Adding to 2131353200 its reverse (23531312), we get a palindrome (2154884512).

The spelling of 2131353200 in words is "two billion, one hundred thirty-one million, three hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 211 400 422 844 1055 1688 2110 3376 4220 5275 8440 10550 16880 21100 25253 42200 50506 84400 101012 126265 202024 252530 404048 505060 631325 1010120 1262650 2020240 2525300 5050600 5328383 10101200 10656766 21313532 26641915 42627064 53283830 85254128 106567660 133209575 213135320 266419150 426270640 532838300 1065676600 2131353200