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11323220112 = 2432372125229
BaseRepresentation
bin10101000101110101…
…01010000010010000
31002020010122011212200
422202322222002100
5141142221020422
65111331523200
7550412532351
oct124272520220
932203564780
1011323220112
114890731956
122240159500
1310b5b95459
14795ba9d28
154641382ac
hex2a2eaa090

11323220112 has 60 divisors (see below), whose sum is σ = 32545772220. Its totient is φ = 3672393984.

The previous prime is 11323220101. The next prime is 11323220123. The reversal of 11323220112 is 21102232311.

11323220112 is a `hidden beast` number, since 11 + 323 + 220 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (11323220101) and next prime (11323220123).

It can be written as a sum of positive squares in 2 ways, for example, as 8644536576 + 2678683536 = 92976^2 + 51756^2 .

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

It is an unprimeable number.

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, 1057287 + ... + 1067942.

It is an arithmetic number, because the mean of its divisors is an integer number (542429537).

Almost surely, 211323220112 is an apocalyptic number.

11323220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11323220112 is an abundant number, since it is smaller than the sum of its proper divisors (21222552108).

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

11323220112 is a wasteful number, since it uses less digits than its factorization.

11323220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125280 (or 2125271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11323220112 its reverse (21102232311), we get a palindrome (32425452423).

The spelling of 11323220112 in words is "eleven billion, three hundred twenty-three million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 2125229 4250458 6375687 8500916 12751374 17001832 19127061 25502748 34003664 38254122 51005496 76508244 78633473 102010992 153016488 157266946 235900419 306032976 314533892 471800838 629067784 707701257 943601676 1258135568 1415402514 1887203352 2830805028 3774406704 5661610056 11323220112