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113623233024 = 293743245759
BaseRepresentation
bin110100111010001111…
…0001111001000000000
3101212021121011021200210
41221310132033020000
53330200021424044
6124110420114120
711131455355020
oct1516436171000
9355247137623
10113623233024
1144207397774
121a030235940
13a93a052b82
1456dc49da80
152e502481b9
hex1a7478f200

113623233024 has 160 divisors (see below), whose sum is σ = 353988771840. Its totient is φ = 31708680192.

The previous prime is 113623233019. The next prime is 113623233037. The reversal of 113623233024 is 420332326311.

It is a junction number, because it is equal to n+sod(n) for n = 113623232982 and 113623233000.

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, 339457 + ... + 585215.

It is an arithmetic number, because the mean of its divisors is an integer number (2212429824).

Almost surely, 2113623233024 is an apocalyptic number.

113623233024 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 113623233024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176994385920).

113623233024 is an abundant number, since it is smaller than the sum of its proper divisors (240365538816).

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

113623233024 is an equidigital number, since it uses as much as digits as its factorization.

113623233024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245830 (or 245814 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 113623233024 its reverse (420332326311), we get a palindrome (533955559335).

The spelling of 113623233024 in words is "one hundred thirteen billion, six hundred twenty-three million, two hundred thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 128 129 168 172 192 224 256 258 301 336 344 384 448 512 516 602 672 688 768 896 903 1032 1204 1344 1376 1536 1792 1806 2064 2408 2688 2752 3584 3612 4128 4816 5376 5504 7224 8256 9632 10752 11008 14448 16512 19264 22016 28896 33024 38528 57792 66048 77056 115584 154112 231168 245759 462336 491518 737277 983036 1474554 1720313 1966072 2949108 3440626 3932144 5160939 5898216 6881252 7864288 10321878 10567637 11796432 13762504 15728576 20643756 21135274 23592864 27525008 31457152 31702911 41287512 42270548 47185728 55050016 62914304 63405822 73973459 82575024 84541096 94371456 110100032 125828608 126811644 147946918 165150048 169082192 188742912 220200064 221920377 253623288 295893836 330300096 338164384 377485824 440400128 443840754 507246576 591787672 660600192 676328768 880800256 887681508 1014493152 1183575344 1321200384 1352657536 1775363016 2028986304 2367150688 2642400768 2705315072 3550726032 4057972608 4734301376 5410630144 7101452064 8115945216 9468602752 14202904128 16231890432 18937205504 28405808256 37874411008 56811616512 113623233024