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23113135320 = 23351119788883
BaseRepresentation
bin10101100001101001…
…100111010011011000
32012122210102221001220
4111201221213103120
5334313430312240
614341254412040
71445523260112
oct254151472330
965583387056
1023113135320
119890842730
124590661020
132244651642
14119393c3b2
1590420b5d0
hex561a674d8

23113135320 has 128 divisors (see below), whose sum is σ = 76027818240. Its totient is φ = 5574679040.

The previous prime is 23113135267. The next prime is 23113135327. The reversal of 23113135320 is 2353131132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23113135327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 215599 + ... + 304481.

It is an arithmetic number, because the mean of its divisors is an integer number (593967330).

Almost surely, 223113135320 is an apocalyptic number.

23113135320 is a gapful number since it is divisible by the number (20) 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 23113135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38013909120).

23113135320 is an abundant number, since it is smaller than the sum of its proper divisors (52914682920).

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

23113135320 is a wasteful number, since it uses less digits than its factorization.

23113135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89105 (or 89101 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 23113135320 its reverse (2353131132), we get a palindrome (25466266452).

The spelling of 23113135320 in words is "twenty-three billion, one hundred thirteen million, one hundred thirty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 197 220 264 330 394 440 591 660 788 985 1182 1320 1576 1970 2167 2364 2955 3940 4334 4728 5910 6501 7880 8668 10835 11820 13002 17336 21670 23640 26004 32505 43340 52008 65010 86680 88883 130020 177766 260040 266649 355532 444415 533298 711064 888830 977713 1066596 1333245 1777660 1955426 2133192 2666490 2933139 3555320 3910852 4888565 5332980 5866278 7821704 9777130 10665960 11732556 14665695 17509951 19554260 23465112 29331390 35019902 39108520 52529853 58662780 70039804 87549755 105059706 117325560 140079608 175099510 192609461 210119412 262649265 350199020 385218922 420238824 525298530 577828383 700398040 770437844 963047305 1050597060 1155656766 1540875688 1926094610 2101194120 2311313532 2889141915 3852189220 4622627064 5778283830 7704378440 11556567660 23113135320