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2131302240 = 253351729021
BaseRepresentation
bin111111100001001…
…0001011101100000
312111112102101001000
41333002101131200
513331103132430
6551253112000
7103546525104
oct17702213540
95445371030
102131302240
119a4078a11
124b5928600
1327c72a7b2
141630b7904
15c719be60
hex7f091760

2131302240 has 192 divisors, whose sum is σ = 7898627520. Its totient is φ = 534896640.

The previous prime is 2131302209. The next prime is 2131302247. The reversal of 2131302240 is 422031312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131302247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58930 + ... + 87950.

It is an arithmetic number, because the mean of its divisors is an integer number (41138685).

Almost surely, 22131302240 is an apocalyptic number.

2131302240 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 2131302240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3949313760).

2131302240 is an abundant number, since it is smaller than the sum of its proper divisors (5767325280).

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

2131302240 is a wasteful number, since it uses less digits than its factorization.

2131302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29062 (or 29048 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2131302240 is about 46166.0290690027. The cubic root of 2131302240 is about 1286.9105082822.

Adding to 2131302240 its reverse (422031312), we get a palindrome (2553333552).

The spelling of 2131302240 in words is "two billion, one hundred thirty-one million, three hundred two thousand, two hundred forty".