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110120133013020 = 223251347059885903
BaseRepresentation
bin11001000010011101010111…
…011010010010111000011100
3112102220101022102000011011200
4121002131113122102320130
5103413202013022404040
61030112253555115500
732123626360342164
oct3102352732227034
9472811272004150
10110120133013020
11320a6760294a29
12104260298a2b90
13495a38cbba850
141d29bb2bcd5a4
15cae7261de630
hex642757692e1c

110120133013020 has 72 divisors (see below), whose sum is σ = 359725767850176. Its totient is φ = 27106494279552.

The previous prime is 110120133013001. The next prime is 110120133013027. The reversal of 110120133013020 is 20310331021011.

110120133013020 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 201 + 330 + 130 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 110120133012984 and 110120133013002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110120133013027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23529940612 + ... + 23529945291.

Almost surely, 2110120133013020 is an apocalyptic number.

110120133013020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120133013020 is an abundant number, since it is smaller than the sum of its proper divisors (249605634837156).

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

110120133013020 is a wasteful number, since it uses less digits than its factorization.

110120133013020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47059885931 (or 47059885926 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 110120133013020 its reverse (20310331021011), we get a palindrome (130430464034031).

The spelling of 110120133013020 in words is "one hundred ten trillion, one hundred twenty billion, one hundred thirty-three million, thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 47059885903 94119771806 141179657709 188239543612 235299429515 282359315418 423538973127 470598859030 564718630836 611778516739 705898288545 847077946254 941197718060 1223557033478 1411796577090 1694155892508 1835335550217 2117694865635 2447114066956 2823593154180 3058892583695 3670671100434 4235389731270 5506006650651 6117785167390 7341342200868 8470779462540 9176677751085 11012013301302 12235570334780 18353355502170 22024026602604 27530033253255 36706711004340 55060066506510 110120133013020