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130230020232 = 2332131117124561
BaseRepresentation
bin111100101001001010…
…0000110100010001000
3110110010221202111001200
41321102110012202020
54113202341121412
6135454333144200
712260135623164
oct1712224064210
9413127674050
10130230020232
11502594a67a4
12212a592b060
13c385740090
146435c63ca4
1535c314c9dc
hex1e52506888

130230020232 has 96 divisors (see below), whose sum is σ = 380180662680. Its totient is φ = 40034580480.

The previous prime is 130230020231. The next prime is 130230020243. The reversal of 130230020232 is 232020032031.

It is a happy number.

130230020232 is a `hidden beast` number, since 130 + 2 + 300 + 2 + 0 + 232 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13311159876 + 116918860356 = 115374^2 + 341934^2 .

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 (130230020231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983232 + ... + 1107792.

Almost surely, 2130230020232 is an apocalyptic number.

130230020232 is a gapful number since it is divisible by the number (12) 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 130230020232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190090331340).

130230020232 is an abundant number, since it is smaller than the sum of its proper divisors (249950642448).

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

130230020232 is a wasteful number, since it uses less digits than its factorization.

130230020232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125703 (or 125696 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 130230020232 its reverse (232020032031), we get a palindrome (362250052263).

The spelling of 130230020232 in words is "one hundred thirty billion, two hundred thirty million, twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1117 2234 3351 4468 6702 8936 10053 13404 14521 20106 26808 29042 40212 43563 58084 80424 87126 116168 124561 130689 174252 249122 261378 348504 373683 498244 522756 747366 996488 1045512 1121049 1494732 1619293 2242098 2989464 3238586 4484196 4857879 6477172 8968392 9715758 12954344 14573637 19431516 29147274 38863032 58294548 116589096 139134637 278269274 417403911 556538548 834807822 1113077096 1252211733 1669615644 1808750281 2504423466 3339231288 3617500562 5008846932 5426250843 7235001124 10017693864 10852501686 14470002248 16278752529 21705003372 32557505058 43410006744 65115010116 130230020232