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11106316331 = 113737613557
BaseRepresentation
bin10100101011111110…
…01111000000101011
31001200000111022211022
422111333033000223
5140221204110311
65034022523055
7542140062665
oct122577170053
931600438738
1011106316331
11478a253930
12219b59648b
13107cc70116
14775067535
154500905db
hex295fcf02b

11106316331 has 16 divisors (see below), whose sum is σ = 12167847648. Its totient is φ = 10053523200.

The previous prime is 11106316327. The next prime is 11106316369. The reversal of 11106316331 is 13361360111.

It is a cyclic number.

It is not a de Polignac number, because 11106316331 - 22 = 11106316327 is a prime.

It is a super-2 number, since 2×111063163312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11106316331.

It is not an unprimeable number, because it can be changed into a prime (11106316301) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3120605 + ... + 3124161.

It is an arithmetic number, because the mean of its divisors is an integer number (760490478).

Almost surely, 211106316331 is an apocalyptic number.

11106316331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11106316331 is a deficient number, since it is larger than the sum of its proper divisors (1061531317).

11106316331 is a wasteful number, since it uses less digits than its factorization.

11106316331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702.

The product of its (nonzero) digits is 972, while the sum is 26.

Adding to 11106316331 its reverse (13361360111), we get a palindrome (24467676442).

The spelling of 11106316331 in words is "eleven billion, one hundred six million, three hundred sixteen thousand, three hundred thirty-one".

Divisors: 1 11 373 761 3557 4103 8371 39127 283853 1326761 2706877 3122383 14594371 29775647 1009665121 11106316331