Search a number
-
+
110120121120 = 2535269852851
BaseRepresentation
bin110011010001110101…
…0111011001100100000
3101112020110102202120110
41212203222323030200
53301011222333440
6122331040211320
710645610404542
oct1464352731440
9345213382513
10110120121120
1142779a34969
1219413009b40
13a4cc366ca9
145489131692
152ce7924080
hex19a3abb320

110120121120 has 96 divisors (see below), whose sum is σ = 348168300480. Its totient is φ = 29256166400.

The previous prime is 110120121113. The next prime is 110120121121. The reversal of 110120121120 is 21121021011.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 110120121096 and 110120121105.

It is not an unprimeable number, because it can be changed into a prime (110120121121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 297306 + ... + 555545.

It is an arithmetic number, because the mean of its divisors is an integer number (3626753130).

Almost surely, 2110120121120 is an apocalyptic number.

110120121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110120121120 is an abundant number, since it is smaller than the sum of its proper divisors (238048179360).

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

110120121120 is a wasteful number, since it uses less digits than its factorization.

110120121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853138 (or 853130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110120121120 its reverse (21121021011), we get a palindrome (131241142131).

The spelling of 110120121120 in words is "one hundred ten billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 269 480 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 8608 10760 12912 16140 21520 25824 32280 43040 64560 129120 852851 1705702 2558553 3411404 4264255 5117106 6822808 8528510 10234212 12792765 13645616 17057020 20468424 25585530 27291232 34114040 40936848 51171060 68228080 81873696 102342120 136456160 204684240 229416919 409368480 458833838 688250757 917667676 1147084595 1376501514 1835335352 2294169190 2753003028 3441253785 3670670704 4588338380 5506006056 6882507570 7341341408 9176676760 11012012112 13765015140 18353353520 22024024224 27530030280 36706707040 55060060560 110120121120