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11304423420 = 22353119730851
BaseRepresentation
bin10101000011100101…
…11100111111111100
31002011211021012122220
422201302330333330
5141122413022140
65105421005340
7550064004453
oct124162747774
932154235586
1011304423420
1148810636a4
1222359b3850
1310b2013954
147934b5b9a
15462673bd0
hex2a1cbcffc

11304423420 has 96 divisors (see below), whose sum is σ = 32840349696. Its totient is φ = 2902368000.

The previous prime is 11304423413. The next prime is 11304423421. The reversal of 11304423420 is 2432440311.

It is a super-3 number, since 3×113044234203 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11304423421) 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, 350995 + ... + 381845.

It is an arithmetic number, because the mean of its divisors is an integer number (342086976).

Almost surely, 211304423420 is an apocalyptic number.

11304423420 is a gapful number since it is divisible by the number (10) 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 11304423420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16420174848).

11304423420 is an abundant number, since it is smaller than the sum of its proper divisors (21535926276).

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

11304423420 is a wasteful number, since it uses less digits than its factorization.

11304423420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31091 (or 31089 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11304423420 its reverse (2432440311), we get a palindrome (13736863731).

The spelling of 11304423420 in words is "eleven billion, three hundred four million, four hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 197 310 372 394 465 591 620 788 930 985 1182 1860 1970 2364 2955 3940 5910 6107 11820 12214 18321 24428 30535 30851 36642 61070 61702 73284 91605 92553 122140 123404 154255 183210 185106 308510 366420 370212 462765 617020 925530 956381 1851060 1912762 2869143 3825524 4781905 5738286 6077647 9563810 11476572 12155294 14345715 18232941 19127620 24310588 28691430 30388235 36465882 57382860 60776470 72931764 91164705 121552940 182329410 188407057 364658820 376814114 565221171 753628228 942035285 1130442342 1884070570 2260884684 2826105855 3768141140 5652211710 11304423420