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11340022512 = 2437132819239
BaseRepresentation
bin10101000111110101…
…10000001011110000
31002021022020211102210
422203322300023300
5141211021210022
65113132012120
7551005413060
oct124372601360
932238224383
1011340022512
11489a168835
122245901040
1310b94c92c0
147981013a0
15465856a0c
hex2a3eb02f0

11340022512 has 160 divisors (see below), whose sum is σ = 36187683840. Its totient is φ = 2979809280.

The previous prime is 11340022501. The next prime is 11340022513. The reversal of 11340022512 is 21522004311.

It is a super-2 number, since 2×113400225122 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11340022513) 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, 1222789 + ... + 1232027.

It is an arithmetic number, because the mean of its divisors is an integer number (226173024).

Almost surely, 211340022512 is an apocalyptic number.

11340022512 is a gapful number since it is divisible by the number (12) 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 11340022512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18093841920).

11340022512 is an abundant number, since it is smaller than the sum of its proper divisors (24847661328).

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

11340022512 is a wasteful number, since it uses less digits than its factorization.

11340022512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9545 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 11340022512 its reverse (21522004311), we get a palindrome (32862026823).

The spelling of 11340022512 in words is "eleven billion, three hundred forty million, twenty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 281 312 336 364 546 562 624 728 843 1092 1124 1456 1686 1967 2184 2248 3372 3653 3934 4368 4496 5901 6744 7306 7868 9239 10959 11802 13488 14612 15736 18478 21918 23604 25571 27717 29224 31472 36956 43836 47208 51142 55434 58448 64673 73912 76713 87672 94416 102284 110868 120107 129346 147824 153426 175344 194019 204568 221736 240214 258692 306852 360321 388038 409136 443472 480428 517384 613704 720642 776076 840749 960856 1034768 1227408 1441284 1552152 1681498 1921712 2522247 2596159 2882568 3104304 3362996 5044494 5192318 5765136 6725992 7788477 10088988 10384636 13451984 15576954 18173113 20177976 20769272 31153908 33750067 36346226 40355952 41538544 54519339 62307816 67500134 72692452 101250201 109038678 124615632 135000268 145384904 202500402 218077356 236250469 270000536 290769808 405000804 436154712 472500938 540001072 708751407 810001608 872309424 945001876 1417502814 1620003216 1890003752 2835005628 3780007504 5670011256 11340022512