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11132013144 = 2337353187711
BaseRepresentation
bin10100101111000010…
…10000101001011000
31001201210211212020010
422113201100221120
5140244243410034
65040341401520
7542601356550
oct122741205130
931653755203
1011132013144
1147a280526a
1221a81092a0
131085399535
14778636160
154524693e9
hex297850a58

11132013144 has 64 divisors (see below), whose sum is σ = 31896023040. Its totient is φ = 3171548160.

The previous prime is 11132013143. The next prime is 11132013199. The reversal of 11132013144 is 44131023111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11132013144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132013143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34552 + ... + 153159.

It is an arithmetic number, because the mean of its divisors is an integer number (498375360).

Almost surely, 211132013144 is an apocalyptic number.

11132013144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11132013144 is an abundant number, since it is smaller than the sum of its proper divisors (20764009896).

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

11132013144 is a wasteful number, since it uses less digits than its factorization.

11132013144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188080 (or 188076 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11132013144 its reverse (44131023111), we get a palindrome (55263036255).

The spelling of 11132013144 in words is "eleven billion, one hundred thirty-two million, thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 353 706 1059 1412 2118 2471 2824 4236 4942 7413 8472 9884 14826 19768 29652 59304 187711 375422 563133 750844 1126266 1313977 1501688 2252532 2627954 3941931 4505064 5255908 7883862 10511816 15767724 31535448 66261983 132523966 198785949 265047932 397571898 463833881 530095864 795143796 927667762 1391501643 1590287592 1855335524 2783003286 3710671048 5566006572 11132013144