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2131331202 = 232711132337139
BaseRepresentation
bin111111100001001…
…1000100010000010
312111112110211202200
41333002120202002
513331110044302
6551253454030
7103550005410
oct17702304202
95445424680
102131331202
119a4098750
124b5941316
1327c73aa30
141630c42b0
15c71a581c
hex7f098882

2131331202 has 384 divisors, whose sum is σ = 6692474880. Its totient is φ = 472158720.

The previous prime is 2131331161. The next prime is 2131331203. The reversal of 2131331202 is 2021331312.

2131331202 is a `hidden beast` number, since 2 + 131 + 331 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2131331203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15333249 + ... + 15333387.

It is an arithmetic number, because the mean of its divisors is an integer number (17428320).

Almost surely, 22131331202 is an apocalyptic number.

2131331202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131331202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346237440).

2131331202 is an abundant number, since it is smaller than the sum of its proper divisors (4561143678).

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

2131331202 is a wasteful number, since it uses less digits than its factorization.

2131331202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2131331202 is about 46166.3427401392. The cubic root of 2131331202 is about 1286.9163374779.

Adding to 2131331202 its reverse (2021331312), we get a palindrome (4152662514).

It can be divided in two parts, 2131 and 331202, that added together give a palindrome (333333).

The spelling of 2131331202 in words is "two billion, one hundred thirty-one million, three hundred thirty-one thousand, two hundred two".