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11312003424 = 253679718131
BaseRepresentation
bin10101000100011111…
…10111100101100000
31002012100112022110210
422202033313211200
5141131333102144
65110251254120
7550215304551
oct124217674540
932170468423
1011312003424
114885370667
12223844a340
1310b3768b67
147944ca328
1546316eab9
hex2a23f7960

11312003424 has 96 divisors (see below), whose sum is σ = 30449575296. Its totient is φ = 3675893760.

The previous prime is 11312003383. The next prime is 11312003441. The reversal of 11312003424 is 42430021311.

11312003424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×113120034242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11312003424.

It is a congruent number.

It is an unprimeable number.

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, 614839 + ... + 632969.

It is an arithmetic number, because the mean of its divisors is an integer number (317183076).

Almost surely, 211312003424 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 11312003424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15224787648).

11312003424 is an abundant number, since it is smaller than the sum of its proper divisors (19137571872).

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

11312003424 is a wasteful number, since it uses less digits than its factorization.

11312003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18308 (or 18300 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 11312003424 its reverse (42430021311), we get a palindrome (53742024735).

The spelling of 11312003424 in words is "eleven billion, three hundred twelve million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 97 134 194 201 268 291 388 402 536 582 776 804 1072 1164 1552 1608 2144 2328 3104 3216 4656 6432 6499 9312 12998 18131 19497 25996 36262 38994 51992 54393 72524 77988 103984 108786 145048 155976 207968 217572 290096 311952 435144 580192 623904 870288 1214777 1740576 1758707 2429554 3517414 3644331 4859108 5276121 7034828 7288662 9718216 10552242 14069656 14577324 19436432 21104484 28139312 29154648 38872864 42208968 56278624 58309296 84417936 116618592 117833369 168835872 235666738 353500107 471333476 707000214 942666952 1414000428 1885333904 2828000856 3770667808 5656001712 11312003424