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11012323024032 = 2531117613431541
BaseRepresentation
bin1010000001000000000110…
…0110100001110010100000
31102222202201201121011022220
42200100001212201302200
52420411214143232112
635230554044431040
72214420426152151
oct240200146416240
942882651534286
1011012323024032
1135663332902a0
12129a318848480
1361b5c4488355
142a0ddc03b928
151416c848598c
hexa04019a1ca0

11012323024032 has 96 divisors (see below), whose sum is σ = 33390305694144. Its totient is φ = 3140769484800.

The previous prime is 11012323024009. The next prime is 11012323024093. The reversal of 11012323024032 is 23042032321011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11012323023993 and 11012323024011.

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 15 ways as a sum of consecutive naturals, for example, 306697819 + ... + 306733722.

It is an arithmetic number, because the mean of its divisors is an integer number (347815684314).

Almost surely, 211012323024032 is an apocalyptic number.

11012323024032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11012323024032 is an abundant number, since it is smaller than the sum of its proper divisors (22377982670112).

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

11012323024032 is a wasteful number, since it uses less digits than its factorization.

11012323024032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613431582 (or 613431574 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11012323024032 its reverse (23042032321011), we get a palindrome (34054355345043).

The spelling of 11012323024032 in words is "eleven trillion, twelve billion, three hundred twenty-three million, twenty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 613431541 1226863082 1840294623 2453726164 3680589246 4907452328 6747746951 7361178492 9814904656 10428336197 13495493902 14722356984 19629809312 20243240853 20856672394 26990987804 29444713968 31285008591 40486481706 41713344788 53981975608 58889427936 62570017182 80972963412 83426689576 107963951216 114711698167 125140034364 161945926824 166853379152 215927902432 229423396334 250280068728 323891853648 333706758304 344135094501 458846792668 500560137456 647783707296 688270189002 917693585336 1001120274912 1376540378004 1835387170672 2753080756008 3670774341344 5506161512016 11012323024032