Search a number
-
+
313123230 = 2325721937101
BaseRepresentation
bin10010101010011…
…110000110011110
3210211012022022200
4102222132012132
51120124420410
651023152330
710521334500
oct2252360636
9724168280
10313123230
11150828132
1288a456a6
134cb44124
142d82bd70
151c7523c0
hex12a9e19e

313123230 has 288 divisors, whose sum is σ = 1033961760. Its totient is φ = 65318400.

The previous prime is 313123229. The next prime is 313123231. The reversal of 313123230 is 32321313.

313123230 is a `hidden beast` number, since 31 + 312 + 323 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (313123229) and next prime (313123231).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313123231) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3100180 + ... + 3100280.

It is an arithmetic number, because the mean of its divisors is an integer number (3590145).

Almost surely, 2313123230 is an apocalyptic number.

313123230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313123230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516980880).

313123230 is an abundant number, since it is smaller than the sum of its proper divisors (720838530).

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

313123230 is a wasteful number, since it uses less digits than its factorization.

313123230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313123230 is about 17695.2883559438. The cubic root of 313123230 is about 679.0552263154.

Adding to 313123230 its reverse (32321313), we get a palindrome (345444543).

The spelling of 313123230 in words is "three hundred thirteen million, one hundred twenty-three thousand, two hundred thirty".