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11381321328 = 24313191098807
BaseRepresentation
bin10101001100110000…
…10010111001110000
31002101011222000202120
422212120102321300
5141302104240303
65121205114240
7552016430556
oct124630227160
932334860676
1011381321328
114910506193
1222576b8980
1310c4c29080
1479d7b1bd6
154692b3553
hex2a6612e70

11381321328 has 160 divisors (see below), whose sum is σ = 33639513600. Its totient is φ = 3286821888.

The previous prime is 11381321327. The next prime is 11381321351. The reversal of 11381321328 is 82312318311.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381321321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287901 + ... + 1296707.

It is an arithmetic number, because the mean of its divisors is an integer number (210246960).

Almost surely, 211381321328 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 11381321328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819756800).

11381321328 is an abundant number, since it is smaller than the sum of its proper divisors (22258192272).

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

11381321328 is a wasteful number, since it uses less digits than its factorization.

11381321328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8959 (or 8953 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

Adding to 11381321328 its reverse (82312318311), we get a palindrome (93693639639).

The spelling of 11381321328 in words is "eleven billion, three hundred eighty-one million, three hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 109 114 152 156 208 218 228 247 304 312 327 436 456 494 624 654 741 872 912 988 1308 1417 1482 1744 1976 2071 2616 2834 2964 3952 4142 4251 5232 5668 5928 6213 8284 8502 8807 11336 11856 12426 16568 17004 17614 22672 24852 26421 26923 33136 34008 35228 49704 52842 53846 68016 70456 80769 99408 105684 107692 114491 140912 161538 167333 211368 215384 228982 323076 334666 343473 422736 430768 457964 501999 646152 669332 686946 915928 959963 1003998 1292304 1338664 1373892 1831856 1919926 2007996 2175329 2677328 2747784 2879889 3839852 4015992 4350658 5495568 5759778 6525987 7679704 8031984 8701316 11519556 12479519 13051974 15359408 17402632 18239297 23039112 24959038 26103948 34805264 36478594 37438557 46078224 49918076 52207896 54717891 72957188 74877114 99836152 104415792 109435782 145914376 149754228 199672304 218871564 237110861 291828752 299508456 437743128 474221722 599016912 711332583 875486256 948443444 1422665166 1896886888 2845330332 3793773776 5690660664 11381321328