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11201112311220 = 22325134786800133
BaseRepresentation
bin1010001011111111011001…
…0100100000010110110100
31110122211000202221121221200
42202333312110200112310
52432004334222424340
635453415302212500
72234153001500226
oct242776624402664
943584022847850
1011201112311220
113629401983a87
12130aa25a24130
13633350014740
142aa1cb27c416
151465775e7330
hexa2ff65205b4

11201112311220 has 72 divisors (see below), whose sum is σ = 36590300224296. Its totient is φ = 2757196876032.

The previous prime is 11201112311167. The next prime is 11201112311237. The reversal of 11201112311220 is 2211321110211.

It is a happy number.

11201112311220 is a `hidden beast` number, since 1 + 1 + 20 + 1 + 112 + 311 + 220 = 666.

11201112311220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 17023986576 + 11184088324644 = 130476^2 + 3344262^2 .

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 = 11201112311193 and 11201112311202.

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, 2393397727 + ... + 2393402406.

Almost surely, 211201112311220 is an apocalyptic number.

11201112311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201112311220 is an abundant number, since it is smaller than the sum of its proper divisors (25389187913076).

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

11201112311220 is a wasteful number, since it uses less digits than its factorization.

11201112311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786800161 (or 4786800156 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11201112311220 its reverse (2211321110211), we get a palindrome (13412433421431).

The spelling of 11201112311220 in words is "eleven trillion, two hundred one billion, one hundred twelve million, three hundred eleven thousand, two hundred 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 4786800133 9573600266 14360400399 19147200532 23934000665 28720800798 43081201197 47868001330 57441601596 62228401729 71802001995 86162402394 95736002660 124456803458 143604003990 172324804788 186685205187 215406005985 248913606916 287208007980 311142008645 373370410374 430812011970 560055615561 622284017290 746740820748 861624023940 933426025935 1120111231122 1244568034580 1866852051870 2240222462244 2800278077805 3733704103740 5600556155610 11201112311220