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130312323232 = 257213192314629
BaseRepresentation
bin111100101011100111…
…0000100000010100000
3110110100200121220112221
41321113032010002200
54113334423320412
6135510433200424
712262155320500
oct1712716040240
9413320556487
10130312323232
11502a0a00203
1221309400114
13c3997c8790
146442b69a00
1535ca4a8b07
hex1e573840a0

130312323232 has 288 divisors, whose sum is σ = 353044137600. Its totient is φ = 46712236032.

The previous prime is 130312323203. The next prime is 130312323233. The reversal of 130312323232 is 232323213031.

It is a super-2 number, since 2×1303123232322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130312323197 and 130312323206.

It is not an unprimeable number, because it can be changed into a prime (130312323233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8900494 + ... + 8915122.

It is an arithmetic number, because the mean of its divisors is an integer number (1225847700).

Almost surely, 2130312323232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130312323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176522068800).

130312323232 is an abundant number, since it is smaller than the sum of its proper divisors (222731814368).

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

130312323232 is a wasteful number, since it uses less digits than its factorization.

130312323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14708 (or 14693 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 130312323232 its reverse (232323213031), we get a palindrome (362635536263).

The spelling of 130312323232 in words is "one hundred thirty billion, three hundred twelve million, three hundred twenty-three thousand, two hundred thirty-two".