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13230401130 = 23251753241677
BaseRepresentation
bin11000101001001011…
…11110011001101010
31021011001100000101200
430110211332121222
5204043440314010
610024501225030
7645601361022
oct142445763152
937131300350
1013230401130
11567a242211
122692a02176
13132b04172b
148d71c2a82
155267b3cc0
hex31497e66a

13230401130 has 192 divisors, whose sum is σ = 37318758048. Its totient is φ = 3239608320.

The previous prime is 13230401101. The next prime is 13230401131. The reversal of 13230401130 is 3110403231.

13230401130 is a `hidden beast` number, since 1 + 3 + 230 + 401 + 1 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 10183029921 + 3047371209 = 100911^2 + 55203^2 .

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 (13230401131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19542352 + ... + 19543028.

Almost surely, 213230401130 is an apocalyptic number.

13230401130 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 13230401130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18659379024).

13230401130 is an abundant number, since it is smaller than the sum of its proper divisors (24088356918).

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

13230401130 is a wasteful number, since it uses less digits than its factorization.

13230401130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 998 counting only the distinct ones).

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

Adding to 13230401130 its reverse (3110403231), we get a palindrome (16340804361).

The spelling of 13230401130 in words is "thirteen billion, two hundred thirty million, four hundred one thousand, one hundred thirty".