Search a number
-
+
12341181450 = 23521317261359
BaseRepresentation
bin10110111111001011…
…10111110000001010
31011212002002222022110
423133211313300022
5200233320301300
65400334203150
7614553211563
oct133745676012
934762088273
1012341181450
115263303314
1224850534b6
131218a50b40
1485107116a
154c36b6550
hex2df977c0a

12341181450 has 288 divisors, whose sum is σ = 35686465920. Its totient is φ = 2804428800.

The previous prime is 12341181403. The next prime is 12341181451. The reversal of 12341181450 is 5418114321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12341181451) 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, 34376371 + ... + 34376729.

It is an arithmetic number, because the mean of its divisors is an integer number (123911340).

Almost surely, 212341181450 is an apocalyptic number.

12341181450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12341181450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17843232960).

12341181450 is an abundant number, since it is smaller than the sum of its proper divisors (23345284470).

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

12341181450 is a wasteful number, since it uses less digits than its factorization.

12341181450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 12341181450 its reverse (5418114321), we get a palindrome (17759295771).

The spelling of 12341181450 in words is "twelve billion, three hundred forty-one million, one hundred eighty-one thousand, four hundred fifty".