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130404404300 = 22521977388789
BaseRepresentation
bin111100101110010110…
…1010100110001001100
3110110121002220010000212
41321130231110301030
54114032011414200
6135523522541552
712264354101432
oct1713455246114
9413532803025
10130404404300
1150338983065
12213342078b8
13c3b28c8a11
146451098d52
1535d35e7035
hex1e5cb54c4c

130404404300 has 72 divisors (see below), whose sum is σ = 298259816400. Its totient is φ = 49351921920.

The previous prime is 130404404239. The next prime is 130404404303. The reversal of 130404404300 is 3404404031.

It is not an unprimeable number, because it can be changed into a prime (130404404303) 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, 1424306 + ... + 1513094.

It is an arithmetic number, because the mean of its divisors is an integer number (4142497450).

Almost surely, 2130404404300 is an apocalyptic number.

130404404300 is a gapful number since it is divisible by the number (10) 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 130404404300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149129908200).

130404404300 is an abundant number, since it is smaller than the sum of its proper divisors (167855412100).

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

130404404300 is a wasteful number, since it uses less digits than its factorization.

130404404300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89595 (or 89588 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 130404404300 its reverse (3404404031), we get a palindrome (133808808331).

The spelling of 130404404300 in words is "one hundred thirty billion, four hundred four million, four hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 773 950 1546 1900 3092 3865 7730 14687 15460 19325 29374 38650 58748 73435 77300 88789 146870 177578 293740 355156 367175 443945 734350 887890 1468700 1686991 1775780 2219725 3373982 4439450 6747964 8434955 8878900 16869910 33739820 42174775 68633897 84349550 137267794 168699100 274535588 343169485 686338970 1304044043 1372677940 1715847425 2608088086 3431694850 5216176172 6520220215 6863389700 13040440430 26080880860 32601101075 65202202150 130404404300