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130381183032 = 23319226635651
BaseRepresentation
bin111100101101101010…
…0101111100000111000
3110110112111012100102220
41321123110233200320
54114010040324112
6135521333124040
712263652525102
oct1713324574070
9413474170386
10130381183032
1150326862631
1221328489620
13c3aab58319
14644bd72572
1535d155b98c
hex1e5b52f838

130381183032 has 96 divisors (see below), whose sum is σ = 344201374080. Its totient is φ = 41150260800.

The previous prime is 130381183021. The next prime is 130381183033. The reversal of 130381183032 is 230381183031.

It is a junction number, because it is equal to n+sod(n) for n = 130381182984 and 130381183002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130381183033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23069407 + ... + 23075057.

It is an arithmetic number, because the mean of its divisors is an integer number (3585430980).

Almost surely, 2130381183032 is an apocalyptic number.

130381183032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130381183032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172100687040).

130381183032 is an abundant number, since it is smaller than the sum of its proper divisors (213820191048).

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

130381183032 is a wasteful number, since it uses less digits than its factorization.

130381183032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8361 (or 8338 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

Subtracting 130381183032 from its reverse (230381183031), we obtain a palindrome (99999999999).

The spelling of 130381183032 in words is "one hundred thirty billion, three hundred eighty-one million, one hundred eighty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 722 1083 1444 2166 2663 2888 4332 5326 5651 7989 8664 10652 11302 15978 16953 21304 22604 31956 33906 45208 50597 63912 67812 101194 107369 135624 151791 202388 214738 303582 322107 404776 429476 607164 644214 858952 961343 1214328 1288428 1922686 2040011 2576856 2884029 3845372 4080022 5768058 6120033 7690744 8160044 11536116 12240066 15048613 16320088 23072232 24480132 30097226 45145839 48960264 60194452 90291678 120388904 180583356 285923647 361166712 571847294 857770941 1143694588 1715541882 2287389176 3431083764 5432549293 6862167528 10865098586 16297647879 21730197172 32595295758 43460394344 65190591516 130381183032