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11220111221202 = 23213429752581
BaseRepresentation
bin1010001101000110001010…
…1111100110000111010010
31110201122001211202020212100
42203101202233212013102
52432312241433034302
635510240430541230
72235424546533312
oct243214257460722
943648054666770
1011220111221202
113636471305284
121312648667816
1363508a190000
142ab0b0611442
15146cda518d1c
hexa3462be61d2

11220111221202 has 120 divisors (see below), whose sum is σ = 27244198404540. Its totient is φ = 3333291212160.

The previous prime is 11220111221167. The next prime is 11220111221227. The reversal of 11220111221202 is 20212211102211.

11220111221202 is a `hidden beast` number, since 11 + 220 + 1 + 11 + 221 + 202 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 2144587442481 + 9075523778721 = 1464441^2 + 3012561^2 .

It is a super-2 number, since 2×112201112212022 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14532552 + ... + 15285132.

Almost surely, 211220111221202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11220111221202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13622099202270).

11220111221202 is an abundant number, since it is smaller than the sum of its proper divisors (16024087183338).

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

11220111221202 is an equidigital number, since it uses as much as digits as its factorization.

11220111221202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752670 (or 752628 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11220111221202 its reverse (20212211102211), we get a palindrome (31432322323413).

The spelling of 11220111221202 in words is "eleven trillion, two hundred twenty billion, one hundred eleven million, two hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 169 174 234 261 338 377 507 522 754 1014 1131 1521 2197 2262 3042 3393 4394 4901 6591 6786 9802 13182 14703 19773 28561 29406 39546 44109 57122 63713 85683 88218 127426 171366 191139 257049 382278 514098 573417 752581 828269 1146834 1505162 1656538 2257743 2484807 4515486 4969614 6773229 7454421 9783553 13546458 14908842 19567106 21824849 29350659 43649698 58701318 65474547 88051977 127186189 130949094 176103954 196423641 254372378 283723037 381558567 392847282 567446074 763117134 851169111 1144675701 1653420457 1702338222 2289351402 2553507333 3306840914 3688399481 4960261371 5107014666 7376798962 9920522742 11065198443 14880784113 21494465941 22130396886 29761568226 33195595329 42988931882 47949193253 64483397823 66391190658 95898386506 128966795646 143847579759 193450193469 287695159518 386900386938 431542739277 623339512289 863085478554 1246679024578 1870018536867 3740037073734 5610055610601 11220111221202