Search a number
-
+
11201200110120 = 2335234058405837
BaseRepresentation
bin1010001011111111101110…
…0011011011101000101000
31110122211020220011021101210
42202333323203123220220
52432010024212010440
635453432120113120
72234155115664546
oct242777343335050
943584226137353
1011201200110120
1136294474a1659
12130aa4b3057a0
13633365275857
142aa1d8bb4d96
1514658018ba80
hexa2ffb8dba28

11201200110120 has 64 divisors (see below), whose sum is σ = 35064626440320. Its totient is φ = 2857117708544.

The previous prime is 11201200110041. The next prime is 11201200110137. The reversal of 11201200110120 is 2101100210211.

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 = 11201200110096 and 11201200110105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029200159 + ... + 2029205678.

It is an arithmetic number, because the mean of its divisors is an integer number (547884788130).

Almost surely, 211201200110120 is an apocalyptic number.

11201200110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201200110120 is an abundant number, since it is smaller than the sum of its proper divisors (23863426330200).

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

11201200110120 is a wasteful number, since it uses less digits than its factorization.

11201200110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058405874 (or 4058405870 counting only the distinct ones).

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

Adding to 11201200110120 its reverse (2101100210211), we get a palindrome (13302300320331).

The spelling of 11201200110120 in words is "eleven trillion, two hundred one billion, two hundred million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 4058405837 8116811674 12175217511 16233623348 20292029185 24350435022 32467246696 40584058370 48700870044 60876087555 81168116740 93343334251 97401740088 121752175110 162336233480 186686668502 243504350220 280030002753 373373337004 466716671255 487008700440 560060005506 746746674008 933433342510 1120120011012 1400150013765 1866866685020 2240240022024 2800300027530 3733733370040 5600600055060 11201200110120