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11022122021220 = 22325411493512469
BaseRepresentation
bin1010000001100100100110…
…1010101111000101100100
31110000201000122010210102200
42200121021222233011210
52421041301214134340
635235254251134500
72215215313232112
oct240311152570544
943021018123380
1011022122021220
11356a501597982
1212a01b2444430
1361c4c6629c3b
142a168b5daab2
15141a9d88c330
hexa0649aaf164

11022122021220 has 72 divisors (see below), whose sum is σ = 34249227962040. Its totient is φ = 2867543938560.

The previous prime is 11022122021219. The next prime is 11022122021269. The reversal of 11022122021220 is 2212022122011.

It is a happy number.

11022122021220 is a `hidden beast` number, since 1 + 1 + 0 + 221 + 220 + 2 + 1 + 220 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281768151104 + 9740353870116 = 1132152^2 + 3120954^2 .

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 = 11022122021193 and 11022122021202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 746748855 + ... + 746763614.

It is an arithmetic number, because the mean of its divisors is an integer number (475683721695).

Almost surely, 211022122021220 is an apocalyptic number.

11022122021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022122021220 is an abundant number, since it is smaller than the sum of its proper divisors (23227105940820).

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

11022122021220 is a wasteful number, since it uses less digits than its factorization.

11022122021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493512525 (or 1493512520 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022122021220 its reverse (2212022122011), we get a palindrome (13234144143231).

The spelling of 11022122021220 in words is "eleven trillion, twenty-two billion, one hundred twenty-two million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 1493512469 2987024938 4480537407 5974049876 7467562345 8961074814 13441612221 14935124690 17922149628 22402687035 26883224442 29870249380 44805374070 53766448884 61234011229 67208061105 89610748140 122468022458 134416122210 183702033687 244936044916 268832244420 306170056145 367404067374 551106101061 612340112290 734808134748 918510168435 1102212202122 1224680224580 1837020336870 2204424404244 2755530505305 3674040673740 5511061010610 11022122021220