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130505002331100 = 223522234913973009
BaseRepresentation
bin11101101011000110010000…
…010011100010101111011100
3122010002011012222222202020120
4131223012100103202233130
5114101143221044043400
61141321100450314540
736326450421534615
oct3553062023425734
9563064188882216
10130505002331100
1138645951615061
12127788b1288a50
1357a8751b99897
1424326938ccc0c
151014b04443ca0
hex76b1904e2bdc

130505002331100 has 144 divisors (see below), whose sum is σ = 380060297917440. Its totient is φ = 34574704819200.

The previous prime is 130505002331083. The next prime is 130505002331113. The reversal of 130505002331100 is 1133200505031.

130505002331100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 30861396 + ... + 34834404.

Almost surely, 2130505002331100 is an apocalyptic number.

130505002331100 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 130505002331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190030148958720).

130505002331100 is an abundant number, since it is smaller than the sum of its proper divisors (249555295586340).

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

130505002331100 is a wasteful number, since it uses less digits than its factorization.

130505002331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973740 (or 3973733 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 130505002331100 its reverse (1133200505031), we get a palindrome (131638202836131).

The spelling of 130505002331100 in words is "one hundred thirty trillion, five hundred five billion, two million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 223 300 446 491 669 892 982 1115 1338 1473 1964 2230 2455 2676 2946 3345 4460 4910 5575 5892 6690 7365 9820 11150 12275 13380 14730 16725 22300 24550 29460 33450 36825 49100 66900 73650 109493 147300 218986 328479 437972 547465 656958 1094930 1313916 1642395 2189860 2737325 3284790 3973009 5474650 6569580 7946018 8211975 10949300 11919027 15892036 16423950 19865045 23838054 32847900 39730090 47676108 59595135 79460180 99325225 119190270 198650450 238380540 297975675 397300900 595951350 885981007 1191902700 1771962014 1950747419 2657943021 3543924028 3901494838 4429905035 5315886042 5852242257 7802989676 8859810070 9753737095 10631772084 11704484514 13289715105 17719620140 19507474190 22149525175 23408969028 26579430210 29261211285 39014948380 44299050350 48768685475 53158860420 58522422570 66448575525 88598100700 97537370950 117044845140 132897151050 146306056425 195074741900 265794302100 292612112850 435016674437 585224225700 870033348874 1305050023311 1740066697748 2175083372185 2610100046622 4350166744370 5220200093244 6525250116555 8700333488740 10875416860925 13050500233110 21750833721850 26101000466220 32626250582775 43501667443700 65252501165550 130505002331100