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130010132 = 22722989257
BaseRepresentation
bin1111011111111…
…00110000010100
3100001122012101002
413233330300110
5231240311012
620522322432
73136032200
oct757746024
9301565332
10130010132
116742959a
1237659418
1320c20295
14133a3b00
15b6317c2
hex7bfcc14

130010132 has 72 divisors (see below), whose sum is σ = 277943400. Its totient is φ = 52985856.

The previous prime is 130010047. The next prime is 130010147. The reversal of 130010132 is 231010031.

It can be written as a sum of positive squares in 4 ways, for example, as 37773316 + 92236816 = 6146^2 + 9604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505748 + ... + 506004.

It is an arithmetic number, because the mean of its divisors is an integer number (3860325).

Almost surely, 2130010132 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 130010132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138971700).

130010132 is an abundant number, since it is smaller than the sum of its proper divisors (147933268).

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

130010132 is a wasteful number, since it uses less digits than its factorization.

130010132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 130010132 is about 11402.1985599269. The cubic root of 130010132 is about 506.5928622491.

Adding to 130010132 its reverse (231010031), we get a palindrome (361020163).

The spelling of 130010132 in words is "one hundred thirty million, ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 49 58 89 98 116 178 196 203 257 356 406 514 623 812 1028 1246 1421 1799 2492 2581 2842 3598 4361 5162 5684 7196 7453 8722 10324 12593 14906 17444 18067 22873 25186 29812 36134 45746 50372 52171 72268 91492 104342 126469 160111 208684 252938 320222 365197 505876 640444 663317 730394 1120777 1326634 1460788 2241554 2653268 4483108 4643219 9286438 18572876 32502533 65005066 130010132