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11220032021200 = 2452171650004709
BaseRepresentation
bin1010001101000101111000…
…0001011110001011010000
31110201121212022201110212221
42203101132001132023100
52432312111144134300
635510224521230424
72235422565411442
oct243213601361320
943647768643787
1011220032021200
113636430630132
121312626032414
1363507694cac2
142ab0a3cb6492
15146cd35c231a
hexa345e05e2d0

11220032021200 has 60 divisors (see below), whose sum is σ = 28541781473580. Its totient is φ = 4224012052480.

The previous prime is 11220032021167. The next prime is 11220032021213. The reversal of 11220032021200 is 212023002211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5945643664 + 11214086377536 = 77108^2 + 3348744^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 824995555 + ... + 825009154.

It is an arithmetic number, because the mean of its divisors is an integer number (475696357893).

Almost surely, 211220032021200 is an apocalyptic number.

11220032021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11220032021200 is an abundant number, since it is smaller than the sum of its proper divisors (17321749452380).

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

11220032021200 is a wasteful number, since it uses less digits than its factorization.

11220032021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650004744 (or 1650004733 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11220032021200 its reverse (212023002211), we get a palindrome (11432055023411).

The spelling of 11220032021200 in words is "eleven trillion, two hundred twenty billion, thirty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 680 850 1360 1700 3400 6800 1650004709 3300009418 6600018836 8250023545 13200037672 16500047090 26400075344 28050080053 33000094180 41250117725 56100160106 66000188360 82500235450 112200320212 132000376720 140250400265 165000470900 224400640424 280500800530 330000941800 448801280848 561001601060 660001883600 701252001325 1122003202120 1402504002650 2244006404240 2805008005300 5610016010600 11220032021200