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1100010312 = 2332120112721
BaseRepresentation
bin100000110010000…
…1101001101001000
32211122212022110200
41001210031031020
54223100312222
6301053012200
736154635102
oct10144151510
92748768420
101100010312
11514a22035
12268484060
13146b8559b
14a6142572
1566888eac
hex4190d348

1100010312 has 48 divisors (see below), whose sum is σ = 2981909580. Its totient is φ = 366336000.

The previous prime is 1100010287. The next prime is 1100010403. The reversal of 1100010312 is 2130100011.

It can be written as a sum of positive squares in 2 ways, for example, as 1072824516 + 27185796 = 32754^2 + 5214^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1100010294 and 1100010303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80112 + ... + 92832.

Almost surely, 21100010312 is an apocalyptic number.

1100010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100010312 is an abundant number, since it is smaller than the sum of its proper divisors (1881899268).

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

1100010312 is a wasteful number, since it uses less digits than its factorization.

1100010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13934 (or 13927 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1100010312 is about 33166.4033624389. The cubic root of 1100010312 is about 1032.2833411652.

Adding to 1100010312 its reverse (2130100011), we get a palindrome (3230110323).

It can be divided in two parts, 11000 and 10312, that added together give a palindrome (21312).

The spelling of 1100010312 in words is "one billion, one hundred million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1201 2402 3603 4804 7206 9608 10809 12721 14412 21618 25442 28824 38163 43236 50884 76326 86472 101768 114489 152652 228978 305304 457956 915912 15277921 30555842 45833763 61111684 91667526 122223368 137501289 183335052 275002578 366670104 550005156 1100010312