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11220011202101 = 132106801621629
BaseRepresentation
bin1010001101000101110011…
…0010000011011000110101
31110201121210212112202110012
42203101130302003120311
52432312040331431401
635510222455110005
72235422223431402
oct243213462033065
943647725482405
1011220011202101
11363641a900469
12131261b072305
13635072540900
142ab0a12172a9
15146cd185d8bb
hexa345cc83635

11220011202101 has 12 divisors (see below), whose sum is σ = 12149612888580. Its totient is φ = 10356819782400.

The previous prime is 11220011202097. The next prime is 11220011202137. The reversal of 11220011202101 is 10120211002211.

It can be written as a sum of positive squares in 6 ways, for example, as 6836138389201 + 4383872812900 = 2614601^2 + 2093770^2 .

It is not a de Polignac number, because 11220011202101 - 22 = 11220011202097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220011202181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17738555 + ... + 18360183.

It is an arithmetic number, because the mean of its divisors is an integer number (1012467740715).

Almost surely, 211220011202101 is an apocalyptic number.

It is an amenable number.

11220011202101 is a deficient number, since it is larger than the sum of its proper divisors (929601686479).

11220011202101 is a wasteful number, since it uses less digits than its factorization.

11220011202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728456 (or 728443 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11220011202101 its reverse (10120211002211), we get a palindrome (21340222204312).

The spelling of 11220011202101 in words is "eleven trillion, two hundred twenty billion, eleven million, two hundred two thousand, one hundred one".

Divisors: 1 13 169 106801 621629 1388413 8081177 18049369 105055301 66390598829 863077784777 11220011202101