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230700003120 = 24335106805557
BaseRepresentation
bin1101011011011011001…
…0101010111100110000
3211001110212202102122000
43112312302222330300
512234433200044440
6253552045414000
722444650446166
oct3266662527460
9731425672560
10230700003120
1189926156a04
1238864b6a300
13189a7724bb2
14b2474a5236
156003771730
hex35b6caaf30

230700003120 has 80 divisors (see below), whose sum is σ = 794633351520. Its totient is φ = 61520000256.

The previous prime is 230700003101. The next prime is 230700003187. The reversal of 230700003120 is 21300007032.

230700003120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 230700003093 and 230700003102.

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, 53400619 + ... + 53404938.

It is an arithmetic number, because the mean of its divisors is an integer number (9932916894).

Almost surely, 2230700003120 is an apocalyptic number.

230700003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230700003120 is an abundant number, since it is smaller than the sum of its proper divisors (563933348400).

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

230700003120 is a wasteful number, since it uses less digits than its factorization.

230700003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106805579 (or 106805567 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The spelling of 230700003120 in words is "two hundred thirty billion, seven hundred million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 106805557 213611114 320416671 427222228 534027785 640833342 854444456 961250013 1068055570 1281666684 1602083355 1708888912 1922500026 2136111140 2563333368 2883750039 3204166710 3845000052 4272222280 4806250065 5126666736 5767500078 6408333420 7690000104 8544444560 9612500130 11535000156 12816666840 14418750195 15380000208 19225000260 23070000312 25633333680 28837500390 38450000520 46140000624 57675000780 76900001040 115350001560 230700003120