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2300102120 = 235238632897
BaseRepresentation
bin1000100100011000…
…1100010111101000
312221022001021221102
42021012030113220
514202311231440
61020123100532
7110666355041
oct21106142750
95838037842
102300102120
11a80390848
12542371748
132a86ac794
1417b6978c8
15d6de1b15
hex8918c5e8

2300102120 has 64 divisors (see below), whose sum is σ = 5408363520. Its totient is φ = 878715904.

The previous prime is 2300102117. The next prime is 2300102131. The reversal of 2300102120 is 212010032.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 792512 + ... + 795408.

It is an arithmetic number, because the mean of its divisors is an integer number (84505680).

Almost surely, 22300102120 is an apocalyptic number.

2300102120 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 2300102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704181760).

2300102120 is an abundant number, since it is smaller than the sum of its proper divisors (3108261400).

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

2300102120 is a wasteful number, since it uses less digits than its factorization.

2300102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2300102120 is about 47959.3798959077. The cubic root of 2300102120 is about 1320.0256575974.

Adding to 2300102120 its reverse (212010032), we get a palindrome (2512112152).

The spelling of 2300102120 in words is "two billion, three hundred million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 863 920 1726 2897 3452 4315 5794 6904 8630 11588 14485 17260 19849 23176 28970 34520 39698 57940 66631 79396 99245 115880 133262 158792 198490 266524 333155 396980 533048 666310 793960 1332620 2500111 2665240 5000222 10000444 12500555 20000888 25001110 50002220 57502553 100004440 115005106 230010212 287512765 460020424 575025530 1150051060 2300102120