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1361530112 = 2813738821
BaseRepresentation
bin101000100100111…
…0100110100000000
310111212221220012012
41101021310310000
510242022430422
6343034152052
745511546355
oct12111646400
93455856165
101361530112
116396037a8
1231bb82628
131890cc527
14ccb7a62c
157e7e64e2
hex51274d00

1361530112 has 36 divisors (see below), whose sum is σ = 2737649796. Its totient is φ = 675778560.

The previous prime is 1361530111. The next prime is 1361530123. The reversal of 1361530112 is 2110351631.

It can be written as a sum of positive squares in 2 ways, for example, as 816587776 + 544942336 = 28576^2 + 23344^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361530111) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 15662 + ... + 54482.

Almost surely, 21361530112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361530112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368824898).

1361530112 is an abundant number, since it is smaller than the sum of its proper divisors (1376119684).

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

1361530112 is an equidigital number, since it uses as much as digits as its factorization.

1361530112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38974 (or 38960 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1361530112 is about 36898.9174908967. The cubic root of 1361530112 is about 1108.3470004056.

Adding to 1361530112 its reverse (2110351631), we get a palindrome (3471881743).

The spelling of 1361530112 in words is "one billion, three hundred sixty-one million, five hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 2192 4384 8768 17536 35072 38821 77642 155284 310568 621136 1242272 2484544 4969088 5318477 9938176 10636954 21273908 42547816 85095632 170191264 340382528 680765056 1361530112