Search a number
-
+
110052121200 = 24352713101443
BaseRepresentation
bin110011001111110011…
…1100001101001110000
3101112001201111000012220
41212133213201221300
53300341320334300
6122320210521040
710644123411210
oct1463747415160
9345051430186
10110052121200
114274460a58a
12193b4296180
13a4bb248958
1454800b0240
152ce1990da0
hex199f9e1a70

110052121200 has 120 divisors (see below), whose sum is σ = 402895605888. Its totient is φ = 25154768640.

The previous prime is 110052121183. The next prime is 110052121243. The reversal of 110052121200 is 2121250011.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1100521212002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110052121200.

It is a congruent number.

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, 6542322 + ... + 6559121.

Almost surely, 2110052121200 is an apocalyptic number.

110052121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110052121200 is an abundant number, since it is smaller than the sum of its proper divisors (292843484688).

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

110052121200 is a wasteful number, since it uses less digits than its factorization.

110052121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13101471 (or 13101460 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 110052121200 its reverse (2121250011), we get a palindrome (112173371211).

The spelling of 110052121200 in words is "one hundred ten billion, fifty-two million, one hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 13101443 26202886 39304329 52405772 65507215 78608658 91710101 104811544 131014430 157217316 183420202 196521645 209623088 262028860 275130303 314434632 327536075 366840404 393043290 458550505 524057720 550260606 628869264 655072150 733680808 786086580 917101010 982608225 1048115440 1100521212 1310144300 1375651515 1467361616 1572173160 1834202020 1965216450 2201042424 2292752525 2620288600 2751303030 3144346320 3668404040 3930432900 4402084848 4585505050 5240577200 5502606060 6878257575 7336808080 7860865800 9171010100 11005212120 13756515150 15721731600 18342020200 22010424240 27513030300 36684040400 55026060600 110052121200