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11132051360 = 2551929126271
BaseRepresentation
bin10100101111000010…
…11001111110100000
31001201210220210122112
422113201121332200
5140244301120420
65040342254452
7542601606143
oct122741317640
931653823575
1011132051360
1147a2830a51
1221a8127428
1310853b0a51
1477864605a
154524758c5
hex297859fa0

11132051360 has 96 divisors (see below), whose sum is σ = 28638489600. Its totient is φ = 4072965120.

The previous prime is 11132051353. The next prime is 11132051363. The reversal of 11132051360 is 6315023111.

11132051360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11132051363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25025 + ... + 151295.

It is an arithmetic number, because the mean of its divisors is an integer number (298317600).

Almost surely, 211132051360 is an apocalyptic number.

11132051360 is a gapful number since it is divisible by the number (10) 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 11132051360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319244800).

11132051360 is an abundant number, since it is smaller than the sum of its proper divisors (17506438240).

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

11132051360 is a wasteful number, since it uses less digits than its factorization.

11132051360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126334 (or 126326 counting only the distinct ones).

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

Adding to 11132051360 its reverse (6315023111), we get a palindrome (17447074471).

The spelling of 11132051360 in words is "eleven billion, one hundred thirty-two million, fifty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 145 152 160 190 232 290 304 380 464 551 580 608 760 928 1102 1160 1520 2204 2320 2755 3040 4408 4640 5510 8816 11020 17632 22040 44080 88160 126271 252542 505084 631355 1010168 1262710 2020336 2399149 2525420 3661859 4040672 4798298 5050840 7323718 9596596 10101680 11995745 14647436 18309295 19193192 20203360 23991490 29294872 36618590 38386384 47982980 58589744 69575321 73237180 76772768 95965960 117179488 139150642 146474360 191931920 278301284 292948720 347876605 383863840 556602568 585897440 695753210 1113205136 1391506420 2226410272 2783012840 5566025680 11132051360