Search a number
-
+
131223500 = 2253192727
BaseRepresentation
bin1111101001001…
…00111111001100
3100010220211210122
413310210333030
5232043123000
621004324112
73152244542
oct764447714
9303824718
10131223500
1168088181
1237b43638
1321256655
14135dbd92
15b7c1085
hex7d24fcc

131223500 has 72 divisors (see below), whose sum is σ = 302885856. Its totient is φ = 49658400.

The previous prime is 131223461. The next prime is 131223511. The reversal of 131223500 is 5322131.

131223500 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180137 + ... + 180863.

It is an arithmetic number, because the mean of its divisors is an integer number (4206748).

Almost surely, 2131223500 is an apocalyptic number.

131223500 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 131223500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151442928).

131223500 is an abundant number, since it is smaller than the sum of its proper divisors (171662356).

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

131223500 is a wasteful number, since it uses less digits than its factorization.

131223500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 131223500 is about 11455.2826241870. The cubic root of 131223500 is about 508.1639735612.

Adding to 131223500 its reverse (5322131), we get a palindrome (136545631).

The spelling of 131223500 in words is "one hundred thirty-one million, two hundred twenty-three thousand, five hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 125 190 250 361 380 475 500 722 727 950 1444 1454 1805 1900 2375 2908 3610 3635 4750 7220 7270 9025 9500 13813 14540 18050 18175 27626 36100 36350 45125 55252 69065 72700 90250 90875 138130 180500 181750 262447 276260 345325 363500 524894 690650 1049788 1312235 1381300 1726625 2624470 3453250 5248940 6561175 6906500 13122350 26244700 32805875 65611750 131223500