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11022221120020 = 2251169001726091
BaseRepresentation
bin1010000001100100111110…
…0100110001001000010100
31110000201021112121112102121
42200121033210301020110
52421042002101320040
635235312151145324
72215220625451645
oct240311744611024
943021245545377
1011022221120020
11356a552523310
1212a021b675244
1361c511016496
142a169a8356cc
15141aa7414c4a
hexa064f931214

11022221120020 has 48 divisors (see below), whose sum is σ = 25251307292736. Its totient is φ = 4008016800000.

The previous prime is 11022221119993. The next prime is 11022221120023. The reversal of 11022221120020 is 2002112222011.

It is a happy number.

It is a super-2 number, since 2×110222211200202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11022221119976 and 11022221120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022221120023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14817175 + ... + 15543265.

It is an arithmetic number, because the mean of its divisors is an integer number (526068901932).

Almost surely, 211022221120020 is an apocalyptic number.

11022221120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022221120020 is an abundant number, since it is smaller than the sum of its proper divisors (14229086172716).

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

11022221120020 is a wasteful number, since it uses less digits than its factorization.

11022221120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795112 (or 795110 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 11022221120020 its reverse (2002112222011), we get a palindrome (13024333342031).

The spelling of 11022221120020 in words is "eleven trillion, twenty-two billion, two hundred twenty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 69001 138002 276004 345005 690010 726091 759011 1380020 1452182 1518022 2904364 3036044 3630455 3795055 7260910 7590110 7987001 14521820 15180220 15974002 31948004 39935005 79870010 159740020 50101005091 100202010182 200404020364 250505025455 501010050910 551111056001 1002020101820 1102222112002 2204444224004 2755555280005 5511110560010 11022221120020