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11302323424 = 257151389859
BaseRepresentation
bin10101000011010101…
…11100010011100000
31002011200022112000021
422201222330103200
5141121343322144
65105304003224
7550040110150
oct124152742340
932150275007
1011302323424
11487a959967
122235160514
1310b1759b52
147930ca760
154623ab884
hex2a1abc4e0

11302323424 has 96 divisors (see below), whose sum is σ = 25694323200. Its totient is φ = 4793817600.

The previous prime is 11302323391. The next prime is 11302323443. The reversal of 11302323424 is 42432320311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13157107 + ... + 13157965.

It is an arithmetic number, because the mean of its divisors is an integer number (267649200).

Almost surely, 211302323424 is an apocalyptic number.

11302323424 is a gapful number since it is divisible by the number (14) 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 11302323424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12847161600).

11302323424 is an abundant number, since it is smaller than the sum of its proper divisors (14391999776).

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

11302323424 is a wasteful number, since it uses less digits than its factorization.

11302323424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 11302323424 its reverse (42432320311), we get a palindrome (53734643735).

The spelling of 11302323424 in words is "eleven billion, three hundred two million, three hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 389 604 778 859 1057 1208 1556 1718 2114 2416 2723 3112 3436 4228 4832 5446 6013 6224 6872 8456 10892 12026 12448 13744 16912 21784 24052 27488 33824 43568 48104 58739 87136 96208 117478 129709 192416 234956 259418 334151 411173 469912 518836 668302 822346 907963 939824 1037672 1336604 1644692 1815926 1879648 2075344 2339057 2673208 3289384 3631852 4150688 4678114 5346416 6578768 7263704 9356228 10692832 13157536 14527408 18712456 29054816 37424912 50456801 74849824 100913602 201827204 353197607 403654408 706395214 807308816 1412790428 1614617632 2825580856 5651161712 11302323424