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1331132130 = 23651723467
BaseRepresentation
bin100111101010111…
…0111011011100010
310102202202112000000
41033111313123202
510211232212010
6340030440430
744662302456
oct11725673342
93382675000
101331132130
116234312a9
12311963116
13182a18363
14c8b06666
157bcde7c0
hex4f5776e2

1331132130 has 224 divisors, whose sum is σ = 3977610624. Its totient is φ = 318878208.

The previous prime is 1331132119. The next prime is 1331132137. The reversal of 1331132130 is 312311331.

It is a happy number.

1331132130 is a `hidden beast` number, since 1 + 3 + 311 + 321 + 30 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1331132137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2850157 + ... + 2850623.

Almost surely, 21331132130 is an apocalyptic number.

1331132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1331132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988805312).

1331132130 is an abundant number, since it is smaller than the sum of its proper divisors (2646478494).

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

1331132130 is a wasteful number, since it uses less digits than its factorization.

1331132130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1331132130 is about 36484.6834986957. The cubic root of 1331132130 is about 1100.0363982446.

Adding to 1331132130 its reverse (312311331), we get a palindrome (1643443461).

The spelling of 1331132130 in words is "one billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred thirty".