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11164223112 = 233729493387
BaseRepresentation
bin10100110010111000…
…01000011010001000
31001211001110021222220
422121130020122020
5140331020114422
65043452014040
7543442221300
oct123134103210
931731407886
1011164223112
114809a05079
1221b6a61320
13108bc663a3
1477ca1c600
154551cce5c
hex299708688

11164223112 has 48 divisors (see below), whose sum is σ = 32467386960. Its totient is φ = 3189777696.

The previous prime is 11164223093. The next prime is 11164223113. The reversal of 11164223112 is 21132246111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11164223113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4745518 + ... + 4747869.

It is an arithmetic number, because the mean of its divisors is an integer number (676403895).

Almost surely, 211164223112 is an apocalyptic number.

11164223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11164223112 is an abundant number, since it is smaller than the sum of its proper divisors (21303163848).

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

11164223112 is a wasteful number, since it uses less digits than its factorization.

11164223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9493410 (or 9493399 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 11164223112 its reverse (21132246111), we get a palindrome (32296469223).

The spelling of 11164223112 in words is "eleven billion, one hundred sixty-four million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 9493387 18986774 28480161 37973548 56960322 66453709 75947096 113920644 132907418 199361127 227841288 265814836 398722254 465175963 531629672 797444508 930351926 1395527889 1594889016 1860703852 2791055778 3721407704 5582111556 11164223112