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13326126120 = 2332549317507
BaseRepresentation
bin11000110100100110…
…01000110000101000
31021101201110100101200
430122103020300220
5204242442013440
610042201044200
7651143126436
oct143223106050
937351410350
1013326126120
11571928387a
1226baa86660
131344b19438
14905bbdd56
1552edc1c30
hex31a4c8c28

13326126120 has 96 divisors (see below), whose sum is σ = 43324463520. Its totient is φ = 3552439680.

The previous prime is 13326126119. The next prime is 13326126157. The reversal of 13326126120 is 2162162331.

13326126120 is a `hidden beast` number, since 1 + 3 + 32 + 6 + 12 + 612 + 0 = 666.

It is a super-2 number, since 2×133261261202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771407 + ... + 1778913.

It is an arithmetic number, because the mean of its divisors is an integer number (451296495).

Almost surely, 213326126120 is an apocalyptic number.

13326126120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13326126120 is an abundant number, since it is smaller than the sum of its proper divisors (29998337400).

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

13326126120 is a wasteful number, since it uses less digits than its factorization.

13326126120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12455 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13326126120 its reverse (2162162331), we get a palindrome (15488288451).

The spelling of 13326126120 in words is "thirteen billion, three hundred twenty-six million, one hundred twenty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4931 7507 9862 14793 15014 19724 22521 24655 29586 30028 37535 39448 44379 45042 49310 59172 60056 67563 73965 75070 88758 90084 98620 112605 118344 135126 147930 150140 177516 180168 197240 221895 225210 270252 295860 300280 337815 355032 443790 450420 540504 591720 675630 887580 900840 1351260 1775160 2702520 37017017 74034034 111051051 148068068 185085085 222102102 296136136 333153153 370170170 444204204 555255255 666306306 740340340 888408408 1110510510 1332612612 1480680680 1665765765 2221021020 2665225224 3331531530 4442042040 6663063060 13326126120