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302130120424 = 231121429218417
BaseRepresentation
bin1000110010110000101…
…10111100011011101000
31001212211222010100122011
410121120112330123220
514422230302323144
6350444025005304
730554031436066
oct4313026743350
91055758110564
10302130120424
11107150638300
124a67a923834
132264c2344b2
14108a1dcd036
157cd46c5a34
hex46585bc6e8

302130120424 has 48 divisors (see below), whose sum is σ = 623113791300. Its totient is φ = 137235141120.

The previous prime is 302130120379. The next prime is 302130120433. The reversal of 302130120424 is 424021031203.

It can be written as a sum of positive squares in 2 ways, for example, as 245351808900 + 56778311524 = 495330^2 + 238282^2 .

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 302130120395 and 302130120404.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1274064 + ... + 1492480.

Almost surely, 2302130120424 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 302130120424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311556895650).

302130120424 is an abundant number, since it is smaller than the sum of its proper divisors (320983670876).

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

302130120424 is a wasteful number, since it uses less digits than its factorization.

302130120424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219874 (or 219859 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 302130120424 its reverse (424021031203), we get a palindrome (726151151627).

The spelling of 302130120424 in words is "three hundred two billion, one hundred thirty million, one hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1429 2858 5716 11432 15719 31438 62876 125752 172909 218417 345818 436834 691636 873668 1383272 1747336 2402587 4805174 9610348 19220696 26428457 52856914 105713828 211427656 312117893 624235786 1248471572 2496943144 3433296823 6866593646 13733187292 27466374584 37766265053 75532530106 151065060212 302130120424