Search a number
-
+
11043031120220 = 22511538211153577
BaseRepresentation
bin1010000010110010011111…
…1100100111100101011100
31110002200222211022002001202
42200230213330213211130
52421412111431321340
635253033133455032
72216555414522321
oct240544774474534
943080884262052
1011043031120220
1135783611a3490
1212a4268941478
13621479465978
142a26b252ab48
151423c4330c15
hexa0b27f2795c

11043031120220 has 96 divisors (see below), whose sum is σ = 25807330213056. Its totient is φ = 3935078451200.

The previous prime is 11043031120217. The next prime is 11043031120267. The reversal of 11043031120220 is 2202113034011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11043031120192 and 11043031120201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8996072 + ... + 10149648.

It is an arithmetic number, because the mean of its divisors is an integer number (268826356386).

Almost surely, 211043031120220 is an apocalyptic number.

11043031120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11043031120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12903665106528).

11043031120220 is an abundant number, since it is smaller than the sum of its proper divisors (14764299092836).

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

11043031120220 is a wasteful number, since it uses less digits than its factorization.

11043031120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154471 (or 1154469 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11043031120220 its reverse (2202113034011), we get a palindrome (13245144154231).

The spelling of 11043031120220 in words is "eleven trillion, forty-three billion, thirty-one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 106 110 212 220 265 530 583 821 1060 1166 1642 2332 2915 3284 4105 5830 8210 9031 11660 16420 18062 36124 43513 45155 87026 90310 174052 180620 217565 435130 478643 870260 957286 1153577 1914572 2307154 2393215 4614308 4786430 5767885 9572860 11535770 12689347 23071540 25378694 50757388 61139581 63446735 122279162 126893470 244558324 253786940 305697905 611395810 672535391 947086717 1222791620 1345070782 1894173434 2690141564 3362676955 3788346868 4735433585 6725353910 9470867170 10417953887 13450707820 18941734340 20835907774 41671815548 50195596001 52089769435 100391192002 104179538870 200782384004 208359077740 250977980005 501955960010 552151556011 1003911920020 1104303112022 2208606224044 2760757780055 5521515560110 11043031120220