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11166220211331 = 334995311190941
BaseRepresentation
bin1010001001111101011010…
…0101101101010010000011
31110112110222002022022010210
42202133112211231102003
52430421404333230311
635425405111325203
72231506226521413
oct242372645552203
943473862268123
1011166220211331
11361562722a999
121304108680803
1362cc7c26c3a3
142a863b21c643
151456d427c3a6
hexa27d696d483

11166220211331 has 16 divisors (see below), whose sum is σ = 14946622135200. Its totient is φ = 7415027316480.

The previous prime is 11166220211291. The next prime is 11166220211353. The reversal of 11166220211331 is 13311202266111.

11166220211331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11166220211331 - 210 = 11166220210307 is a prime.

It is a super-2 number, since 2×111662202113312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11166220210331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4597680 + ... + 6593261.

It is an arithmetic number, because the mean of its divisors is an integer number (934163883450).

Almost surely, 211166220211331 is an apocalyptic number.

11166220211331 is a deficient number, since it is larger than the sum of its proper divisors (3780401923869).

11166220211331 is a wasteful number, since it uses less digits than its factorization.

11166220211331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11192246.

The product of its (nonzero) digits is 2592, while the sum is 30.

Adding to 11166220211331 its reverse (13311202266111), we get a palindrome (24477422477442).

The spelling of 11166220211331 in words is "eleven trillion, one hundred sixty-six billion, two hundred twenty million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 349 953 1047 2859 332597 997791 11190941 33572823 3905638409 10664966773 11716915227 31994900319 3722073403777 11166220211331