Search a number
-
+
300131123424 = 253114339716649
BaseRepresentation
bin1000101111000010011…
…01011000000011100000
31001200200122122210021020
410113201031120003200
514404132031422144
6345513415325440
730453346312356
oct4274115300340
91050618583236
10300131123424
11106315216270
124a201380880
13223c104b832
14107527157d6
157c18e60419
hex45e13580e0

300131123424 has 192 divisors, whose sum is σ = 881722195200. Its totient is φ = 88604651520.

The previous prime is 300131123389. The next prime is 300131123437. The reversal of 300131123424 is 424321131003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 300131123394 and 300131123403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18018652 + ... + 18035300.

It is an arithmetic number, because the mean of its divisors is an integer number (4592303100).

Almost surely, 2300131123424 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 300131123424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440861097600).

300131123424 is an abundant number, since it is smaller than the sum of its proper divisors (581591071776).

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

300131123424 is a wasteful number, since it uses less digits than its factorization.

300131123424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17113 (or 17105 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 300131123424 its reverse (424321131003), we get a palindrome (724452254427).

The spelling of 300131123424 in words is "three hundred billion, one hundred thirty-one million, one hundred twenty-three thousand, four hundred twenty-four".