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11315321136 = 243375963421
BaseRepresentation
bin10101000100111001…
…00001100100110000
31002012120202212112000
422202130201210300
5141133210234021
65110450334000
7550255433310
oct124234414460
932176685460
1011315321136
114887227279
12223958a300
1310b435acc2
14794b11440
154635c7b26
hex2a2721930

11315321136 has 160 divisors (see below), whose sum is σ = 37748774400. Its totient is φ = 3178103040.

The previous prime is 11315321131. The next prime is 11315321137. The reversal of 11315321136 is 63112351311.

It is a happy number.

11315321136 is a `hidden beast` number, since 1 + 13 + 1 + 532 + 113 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (11315321131) 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 31 ways as a sum of consecutive naturals, for example, 146706 + ... + 210126.

It is an arithmetic number, because the mean of its divisors is an integer number (235929840).

Almost surely, 211315321136 is an apocalyptic number.

11315321136 is a gapful number since it is divisible by the number (16) 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 11315321136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18874387200).

11315321136 is an abundant number, since it is smaller than the sum of its proper divisors (26433453264).

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

11315321136 is a wasteful number, since it uses less digits than its factorization.

11315321136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63504 (or 63492 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

Adding to 11315321136 its reverse (63112351311), we get a palindrome (74427672447).

The spelling of 11315321136 in words is "eleven billion, three hundred fifteen million, three hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 708 756 826 944 1008 1062 1239 1416 1512 1593 1652 2124 2478 2832 3024 3186 3304 3717 4248 4956 6372 6608 7434 8496 9912 11151 12744 14868 19824 22302 25488 29736 44604 59472 63421 89208 126842 178416 190263 253684 380526 443947 507368 570789 761052 887894 1014736 1141578 1331841 1522104 1712367 1775788 2283156 2663682 3044208 3424734 3551576 3741839 3995523 4566312 5327364 6849468 7103152 7483678 7991046 9132624 10654728 11225517 11986569 13698936 14967356 15982092 21309456 22451034 23973138 26192873 27397872 29934712 31964184 33676551 44902068 47946276 52385746 59869424 63928368 67353102 78578619 89804136 95892552 101029653 104771492 134706204 157157238 179608272 191785104 202059306 209542984 235735857 269412408 314314476 404118612 419085968 471471714 538824816 628628952 707207571 808237224 942943428 1257257904 1414415142 1616474448 1885886856 2828830284 3771773712 5657660568 11315321136