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2300113120 = 25541547641
BaseRepresentation
bin1000100100011000…
…1111000011100000
312221022001212000211
42021012033003200
514202312104440
61020123223504
7110666432104
oct21106170340
95838055024
102300113120
11a80399038
12542377b94
132a86b47a6
1417b69b904
15d6de4eea
hex8918f0e0

2300113120 has 96 divisors (see below), whose sum is σ = 5585430816. Its totient is φ = 894566400.

The previous prime is 2300113117. The next prime is 2300113157. The reversal of 2300113120 is 213110032.

It is a super-2 number, since 2×23001131202 = 10581040729592268800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2300113120.

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, 3588000 + ... + 3588640.

It is an arithmetic number, because the mean of its divisors is an integer number (58181571).

Almost surely, 22300113120 is an apocalyptic number.

2300113120 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 2300113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792715408).

2300113120 is an abundant number, since it is smaller than the sum of its proper divisors (3285317696).

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

2300113120 is a wasteful number, since it uses less digits than its factorization.

2300113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2300113120 is about 47959.4945761525. The cubic root of 2300113120 is about 1320.0277618893.

Adding to 2300113120 its reverse (213110032), we get a palindrome (2513223152).

The spelling of 2300113120 in words is "two billion, three hundred million, one hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 547 641 656 820 1094 1282 1312 1640 2188 2564 2735 3205 3280 4376 5128 5470 6410 6560 8752 10256 10940 12820 17504 20512 21880 22427 25640 26281 43760 44854 51280 52562 87520 89708 102560 105124 112135 131405 179416 210248 224270 262810 350627 358832 420496 448540 525620 701254 717664 840992 897080 1051240 1402508 1753135 1794160 2102480 2805016 3506270 3588320 4204960 5610032 7012540 11220064 14025080 14375707 28050160 28751414 56100320 57502828 71878535 115005656 143757070 230011312 287514140 460022624 575028280 1150056560 2300113120