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13305516120 = 23325132843059
BaseRepresentation
bin11000110010001001…
…00001000001011000
31021100021200020210100
430121010201001120
5204222203003440
610040143215400
7650503010121
oct143104410130
937307606710
1013305516120
115708687216
1226b3ba7560
131340781480
14903177048
1552d1a0230
hex319121058

13305516120 has 96 divisors (see below), whose sum is σ = 46569322800. Its totient is φ = 3275202816.

The previous prime is 13305516113. The next prime is 13305516167. The reversal of 13305516120 is 2161550331.

13305516120 is a `hidden beast` number, since 1 + 3 + 30 + 551 + 61 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1416850 + ... + 1426209.

Almost surely, 213305516120 is an apocalyptic number.

13305516120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13305516120 is an abundant number, since it is smaller than the sum of its proper divisors (33263806680).

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

13305516120 is a wasteful number, since it uses less digits than its factorization.

13305516120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843089 (or 2843082 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13305516120 in words is "thirteen billion, three hundred five million, five hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 2843059 5686118 8529177 11372236 14215295 17058354 22744472 25587531 28430590 34116708 36959767 42645885 51175062 56861180 68233416 73919534 85291770 102350124 110879301 113722360 127937655 147839068 170583540 184798835 204700248 221758602 255875310 295678136 332637903 341167080 369597670 443517204 511750620 554396505 665275806 739195340 887034408 1023501240 1108793010 1330551612 1478390680 1663189515 2217586020 2661103224 3326379030 4435172040 6652758060 13305516120