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130113030024 = 2335163410617
BaseRepresentation
bin111100100101101010…
…1110100011110001000
3110102211210121202200000
41321023111310132020
54112432413430044
6135434553443000
712254215335645
oct1711325643610
9412753552600
10130113030024
11501a946027a
1221272710460
13c36742b0c3
1464244ccdcc
1535b7c3dd69
hex1e4b574788

130113030024 has 96 divisors (see below), whose sum is σ = 367683781920. Its totient is φ = 43104825216.

The previous prime is 130113029953. The next prime is 130113030029. The reversal of 130113030024 is 420030311031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130113029979 and 130113030006.

It is not an unprimeable number, because it can be changed into a prime (130113030029) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 111564 + ... + 522180.

It is an arithmetic number, because the mean of its divisors is an integer number (3830039395).

Almost surely, 2130113030024 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 130113030024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183841890960).

130113030024 is an abundant number, since it is smaller than the sum of its proper divisors (237570751896).

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

130113030024 is a wasteful number, since it uses less digits than its factorization.

130113030024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410801 (or 410785 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 130113030024 its reverse (420030311031), we get a palindrome (550143341055).

The spelling of 130113030024 in words is "one hundred thirty billion, one hundred thirteen million, thirty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 163 216 243 324 326 486 489 648 652 972 978 1304 1467 1944 1956 2934 3912 4401 5868 8802 11736 13203 17604 26406 35208 39609 52812 79218 105624 158436 316872 410617 821234 1231851 1642468 2463702 3284936 3695553 4927404 7391106 9854808 11086659 14782212 22173318 29564424 33259977 44346636 66519954 66930571 88693272 99779931 133039908 133861142 199559862 200791713 266079816 267722284 399119724 401583426 535444568 602375139 798239448 803166852 1204750278 1606333704 1807125417 2409500556 3614250834 4819001112 5421376251 7228501668 10842752502 14457003336 16264128753 21685505004 32528257506 43371010008 65056515012 130113030024