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130334321312200 = 235229124917991541
BaseRepresentation
bin11101101000100111010010…
…111011001000000111001000
3122002110211122221112121211001
4131220213102323020013020
5114040344142223442300
61141110432143544344
736311225661031615
oct3550472273100710
9562424587477731
10130334321312200
113858a525632355
121274b7b85bb0b4
135795620b1ab45
14242830161d50c
151010464e2516a
hex7689d2ec81c8

130334321312200 has 96 divisors (see below), whose sum is σ = 313727513625000. Its totient is φ = 50295709900800.

The previous prime is 130334321312177. The next prime is 130334321312219. The reversal of 130334321312200 is 2213123433031.

It can be written as a sum of positive squares in 12 ways, for example, as 3214153353636 + 127120167958564 = 1792806^2 + 11274758^2 .

It is a super-2 number, since 2×1303343213122002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1751571 + ... + 16239970.

Almost surely, 2130334321312200 is an apocalyptic number.

130334321312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130334321312200 is an abundant number, since it is smaller than the sum of its proper divisors (183393192312800).

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

130334321312200 is a wasteful number, since it uses less digits than its factorization.

130334321312200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17992835 (or 17992826 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 130334321312200 its reverse (2213123433031), we get a palindrome (132547444745231).

The spelling of 130334321312200 in words is "one hundred thirty trillion, three hundred thirty-four billion, three hundred twenty-one million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1249 1450 2498 2900 4996 5800 6245 9992 12490 24980 31225 36221 49960 62450 72442 124900 144884 181105 249800 289768 362210 724420 905525 1448840 1811050 3622100 7244200 17991541 35983082 71966164 89957705 143932328 179915410 359830820 449788525 521754689 719661640 899577050 1043509378 1799154100 2087018756 2608773445 3598308200 4174037512 5217546890 10435093780 13043867225 20870187560 22471434709 26087734450 44942869418 52175468900 89885738836 104350937800 112357173545 179771477672 224714347090 449428694180 561785867725 651671606561 898857388360 1123571735450 1303343213122 2247143470900 2606686426244 3258358032805 4494286941800 5213372852488 6516716065610 13033432131220 16291790164025 26066864262440 32583580328050 65167160656100 130334321312200