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130011532 = 22743831301
BaseRepresentation
bin1111011111111…
…01000110001100
3100001122021021221
413233331012030
5231240332112
620522333124
73136036240
oct757750614
9301567257
10130011532
116742a652
123765a1a4
1320c20b01
14133a4420
15b631e07
hex7bfd18c

130011532 has 48 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 53726400.

The previous prime is 130011521. The next prime is 130011559. The reversal of 130011532 is 235110031.

130011532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99282 + ... + 100582.

It is an arithmetic number, because the mean of its divisors is an integer number (5614224).

Almost surely, 2130011532 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 130011532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

130011532 is an abundant number, since it is smaller than the sum of its proper divisors (139471220).

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

130011532 is a wasteful number, since it uses less digits than its factorization.

130011532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 130011532 is about 11402.2599514307. The cubic root of 130011532 is about 506.5946806393.

Adding to 130011532 its reverse (235110031), we get a palindrome (365121563).

The spelling of 130011532 in words is "one hundred thirty million, eleven thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 83 86 166 172 301 332 581 602 1162 1204 1301 2324 2602 3569 5204 7138 9107 14276 18214 24983 36428 49966 55943 99932 107983 111886 215966 223772 391601 431932 755881 783202 1511762 1566404 3023524 4643269 9286538 18573076 32502883 65005766 130011532