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130213344021024 = 25311839146970311
BaseRepresentation
bin11101100110110110101000…
…000111011000101000100000
3122002001021101211102110212010
4131212312220013120220200
5114031403412032133044
61140535103500432520
736266414024026035
oct3546665007305040
9562037354373763
10130213344021024
1138543195054980
1212730275548740
1357870b1317994
14242250659b38c
15100c234276bb9
hex766da81d8a20

130213344021024 has 96 divisors (see below), whose sum is σ = 373328107729920. Its totient is φ = 39411558329600.

The previous prime is 130213344020933. The next prime is 130213344021041. The reversal of 130213344021024 is 420120443312031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1302133440210242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130213344020982 and 130213344021000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72599172 + ... + 74371139.

It is an arithmetic number, because the mean of its divisors is an integer number (3888834455520).

Almost surely, 2130213344021024 is an apocalyptic number.

It is an amenable number.

130213344021024 is an abundant number, since it is smaller than the sum of its proper divisors (243114763708896).

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

130213344021024 is a wasteful number, since it uses less digits than its factorization.

130213344021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146971174 (or 146971166 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 130213344021024 its reverse (420120443312031), we get a palindrome (550333787333055).

The spelling of 130213344021024 in words is "one hundred thirty trillion, two hundred thirteen billion, three hundred forty-four million, twenty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 839 1056 1678 2517 3356 5034 6712 9229 10068 13424 18458 20136 26848 27687 36916 40272 55374 73832 80544 110748 147664 221496 295328 442992 885984 146970311 293940622 440910933 587881244 881821866 1175762488 1616673421 1763643732 2351524976 3233346842 3527287464 4703049952 4850020263 6466693684 7054574928 9700040526 12933387368 14109149856 19400081052 25866774736 38800162104 51733549472 77600324208 123308090929 155200648416 246616181858 369924272787 493232363716 739848545574 986464727432 1356389000219 1479697091148 1972929454864 2712778000438 2959394182296 3945858909728 4069167000657 5425556000876 5918788364592 8138334001314 10851112001752 11837576729184 16276668002628 21702224003504 32553336005256 43404448007008 65106672010512 130213344021024