Search a number
-
+
130323532000 = 2553101322583
BaseRepresentation
bin111100101011111100…
…0110100100011100000
3110110101110201101002111
41321113320310203200
54113400311011000
6135511513325104
712262352513224
oct1712770644340
9413343641074
10130323532000
11502a7266552
1221311106794
13c39bc2159c
146444446784
1535cb46ecba
hex1e57e348e0

130323532000 has 96 divisors (see below), whose sum is σ = 323376266304. Its totient is φ = 51613120000.

The previous prime is 130323531991. The next prime is 130323532007. The reversal of 130323532000 is 235323031.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130323532007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242709 + ... + 565291.

It is an arithmetic number, because the mean of its divisors is an integer number (3368502774).

Almost surely, 2130323532000 is an apocalyptic number.

130323532000 is a gapful number since it is divisible by the number (10) 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 130323532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161688133152).

130323532000 is an abundant number, since it is smaller than the sum of its proper divisors (193052734304).

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

130323532000 is a wasteful number, since it uses less digits than its factorization.

130323532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322709 (or 322691 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 22.

Adding to 130323532000 its reverse (235323031), we get a palindrome (130558855031).

The spelling of 130323532000 in words is "one hundred thirty billion, three hundred twenty-three million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 101 125 160 200 202 250 400 404 500 505 800 808 1000 1010 1616 2000 2020 2525 3232 4000 4040 5050 8080 10100 12625 16160 20200 25250 40400 50500 80800 101000 202000 322583 404000 645166 1290332 1612915 2580664 3225830 5161328 6451660 8064575 10322656 12903320 16129150 25806640 32258300 32580883 40322875 51613280 64516600 65161766 80645750 129033200 130323532 161291500 162904415 258066400 260647064 322583000 325808830 521294128 645166000 651617660 814522075 1042588256 1290332000 1303235320 1629044150 2606470640 3258088300 4072610375 5212941280 6516176600 8145220750 13032353200 16290441500 26064706400 32580883000 65161766000 130323532000