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1381127112 = 233419111159
BaseRepresentation
bin101001001010010…
…0101001111001000
310120020211112020000
41102110211033020
510312032031422
6345014203000
746140246441
oct12224451710
93506745200
101381127112
11649679272
12326653460
131901a13a1
14d15dc2c8
15813b7cac
hex525253c8

1381127112 has 80 divisors (see below), whose sum is σ = 3889036800. Its totient is φ = 457924320.

The previous prime is 1381127093. The next prime is 1381127147. The reversal of 1381127112 is 2117211831.

1381127112 is a `hidden beast` number, since 1 + 381 + 1 + 271 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 118189 + ... + 129347.

It is an arithmetic number, because the mean of its divisors is an integer number (48612960).

Almost surely, 21381127112 is an apocalyptic number.

1381127112 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 1381127112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944518400).

1381127112 is an abundant number, since it is smaller than the sum of its proper divisors (2507909688).

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

1381127112 is a wasteful number, since it uses less digits than its factorization.

1381127112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11368 (or 11355 counting only the distinct ones).

The product of its digits is 672, while the sum is 27.

The square root of 1381127112 is about 37163.5185632362. The cubic root of 1381127112 is about 1113.6393040341.

Adding to 1381127112 its reverse (2117211831), we get a palindrome (3498338943).

The spelling of 1381127112 in words is "one billion, three hundred eighty-one million, one hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 191 216 324 382 573 648 764 1146 1528 1719 2292 3438 4584 5157 6876 10314 11159 13752 15471 20628 22318 30942 33477 41256 44636 61884 66954 89272 100431 123768 133908 200862 267816 301293 401724 602586 803448 903879 1205172 1807758 2131369 2410344 3615516 4262738 6394107 7231032 8525476 12788214 17050952 19182321 25576428 38364642 51152856 57546963 76729284 115093926 153458568 172640889 230187852 345281778 460375704 690563556 1381127112