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131132022300 = 223252536614159
BaseRepresentation
bin111101000100000010…
…0111101111000011100
3110112110211000221021200
41322020010331320130
54122024244203200
6140124034155500
712321400540626
oct1721004757034
9415424027250
10131132022300
1150681676254
12214b7a22b90
13c49a587b06
1464bd981c16
153627422800
hex1e8813de1c

131132022300 has 216 divisors, whose sum is σ = 419515649280. Its totient is φ = 34248614400.

The previous prime is 131132022293. The next prime is 131132022349. The reversal of 131132022300 is 3220231131.

131132022300 is a `hidden beast` number, since 1 + 311 + 32 + 0 + 22 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 31527621 + ... + 31531779.

It is an arithmetic number, because the mean of its divisors is an integer number (1942202080).

Almost surely, 2131132022300 is an apocalyptic number.

131132022300 is a gapful number since it is divisible by the number (10) 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 131132022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209757824640).

131132022300 is an abundant number, since it is smaller than the sum of its proper divisors (288383626980).

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

131132022300 is a wasteful number, since it uses less digits than its factorization.

131132022300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4893 (or 4883 counting only the distinct ones).

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

Adding to 131132022300 its reverse (3220231131), we get a palindrome (134352253431).

The spelling of 131132022300 in words is "one hundred thirty-one billion, one hundred thirty-two million, twenty-two thousand, three hundred".