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130440404100 = 223525325793181
BaseRepresentation
bin111100101111011011…
…0101001110010000100
3110110200121122002110210
41321132312221302010
54114120220412400
6135531250315420
712265302066216
oct1713666516204
9413617562423
10130440404100
1150357231266
1221344288b70
13c3ba1c1886
146455b8a5b6
1535d6858950
hex1e5eda9c84

130440404100 has 144 divisors (see below), whose sum is σ = 384798496320. Its totient is φ = 34103846400.

The previous prime is 130440404093. The next prime is 130440404177. The reversal of 130440404100 is 1404044031.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41004510 + ... + 41007690.

It is an arithmetic number, because the mean of its divisors is an integer number (2672211780).

Almost surely, 2130440404100 is an apocalyptic number.

130440404100 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 130440404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192399248160).

130440404100 is an abundant number, since it is smaller than the sum of its proper divisors (254358092220).

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

130440404100 is a wasteful number, since it uses less digits than its factorization.

130440404100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 130440404100 its reverse (1404044031), we get a palindrome (131844448131).

The spelling of 130440404100 in words is "one hundred thirty billion, four hundred forty million, four hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 795 1060 1325 1590 2579 2650 3180 3181 3975 5158 5300 6362 7737 7950 9543 10316 12724 12895 15474 15900 15905 19086 25790 30948 31810 38172 38685 47715 51580 63620 64475 77370 79525 95430 128950 136687 154740 159050 168593 190860 193425 238575 257900 273374 318100 337186 386850 410061 477150 505779 546748 674372 683435 773700 820122 842965 954300 1011558 1366870 1640244 1685930 2023116 2050305 2528895 2733740 3371860 3417175 4100610 4214825 5057790 6834350 8201220 8203799 8429650 10115580 10251525 12644475 13668700 16407598 16859300 20503050 24611397 25288950 32815196 41006100 41018995 49222794 50577900 82037990 98445588 123056985 164075980 205094975 246113970 410189950 434801347 492227940 615284925 820379900 869602694 1230569850 1304404041 1739205388 2174006735 2461139700 2608808082 4348013470 5217616164 6522020205 8696026940 10870033675 13044040410 21740067350 26088080820 32610101025 43480134700 65220202050 130440404100