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1320110112 = 253176712073
BaseRepresentation
bin100111010101111…
…0100100000100000
310102000000112122010
41032223310200200
510200422010422
6334554312520
744466515346
oct11653644040
93360015563
101320110112
116181932a2
1230a128740
13180659559
14c7477996
157ad63b0c
hex4eaf4820

1320110112 has 96 divisors (see below), whose sum is σ = 3724201152. Its totient is φ = 407937024.

The previous prime is 1320110069. The next prime is 1320110119. The reversal of 1320110112 is 2110110231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1320110119) 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 15 ways as a sum of consecutive naturals, for example, 103308 + ... + 115380.

It is an arithmetic number, because the mean of its divisors is an integer number (38793762).

Almost surely, 21320110112 is an apocalyptic number.

1320110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862100576).

1320110112 is an abundant number, since it is smaller than the sum of its proper divisors (2404091040).

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

1320110112 is a wasteful number, since it uses less digits than its factorization.

1320110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12170 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1320110112 is about 36333.3195840953. The cubic root of 1320110112 is about 1096.9918118111.

Adding to 1320110112 its reverse (2110110231), we get a palindrome (3430220343).

The spelling of 1320110112 in words is "one billion, three hundred twenty million, one hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 67 68 96 102 134 136 201 204 268 272 402 408 536 544 804 816 1072 1139 1608 1632 2144 2278 3216 3417 4556 6432 6834 9112 12073 13668 18224 24146 27336 36219 36448 48292 54672 72438 96584 109344 144876 193168 205241 289752 386336 410482 579504 615723 808891 820964 1159008 1231446 1617782 1641928 2426673 2462892 3235564 3283856 4853346 4925784 6471128 6567712 9706692 9851568 12942256 13751147 19413384 19703136 25884512 27502294 38826768 41253441 55004588 77653536 82506882 110009176 165013764 220018352 330027528 440036704 660055056 1320110112