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2320113024 = 27331813709
BaseRepresentation
bin1000101001001010…
…0001110110000000
312222200200221202000
42022102201312000
514222422104044
61022120024000
7111331430625
oct21222416600
95880627660
102320113024
11a90709289
12549002000
132ac897b58
141801c634c
15d8a45d69
hex8a4a1d80

2320113024 has 128 divisors (see below), whose sum is σ = 6887244000. Its totient is φ = 768890880.

The previous prime is 2320113011. The next prime is 2320113041. The reversal of 2320113024 is 4203110232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2320112988 and 2320113006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 623682 + ... + 627390.

Almost surely, 22320113024 is an apocalyptic number.

2320113024 is a gapful number since it is divisible by the number (24) 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 2320113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3443622000).

2320113024 is an abundant number, since it is smaller than the sum of its proper divisors (4567130976).

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

2320113024 is a wasteful number, since it uses less digits than its factorization.

2320113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3913 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2320113024 is about 48167.5515674193. The cubic root of 2320113024 is about 1323.8426868950.

Adding to 2320113024 its reverse (4203110232), we get a palindrome (6523223256).

The spelling of 2320113024 in words is "two billion, three hundred twenty million, one hundred thirteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 181 192 216 288 362 384 432 543 576 724 864 1086 1152 1448 1629 1728 2172 2896 3258 3456 3709 4344 4887 5792 6516 7418 8688 9774 11127 11584 13032 14836 17376 19548 22254 23168 26064 29672 33381 34752 39096 44508 52128 59344 66762 69504 78192 89016 100143 104256 118688 133524 156384 178032 200286 208512 237376 267048 312768 356064 400572 474752 534096 625536 671329 712128 801144 1068192 1342658 1424256 1602288 2013987 2136384 2685316 3204576 4027974 4272768 5370632 6041961 6409152 8055948 10741264 12083922 12818304 16111896 18125883 21482528 24167844 32223792 36251766 42965056 48335688 64447584 72503532 85930112 96671376 128895168 145007064 193342752 257790336 290014128 386685504 580028256 773371008 1160056512 2320113024