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230300100 = 223252833083
BaseRepresentation
bin11011011101000…
…01100111000100
3121001100110100100
431232201213010
5432424100400
634504044100
75464342602
oct1556414704
9531313310
10230300100
11108aa8968
1265163630
1338935a64
142282c872
1515342100
hexdba19c4

230300100 has 108 divisors (see below), whose sum is σ = 730796976. Its totient is φ = 60653760.

The previous prime is 230300093. The next prime is 230300111. The reversal of 230300100 is 1003032.

It is a happy number.

230300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73159 + ... + 76241.

Almost surely, 2230300100 is an apocalyptic number.

230300100 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 230300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365398488).

230300100 is an abundant number, since it is smaller than the sum of its proper divisors (500496876).

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

230300100 is a wasteful number, since it uses less digits than its factorization.

230300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3176 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 230300100 is about 15175.6416668291. The cubic root of 230300100 is about 612.9589285775.

Adding to 230300100 its reverse (1003032), we get a palindrome (231303132).

It can be divided in two parts, 230300 and 100, that added together give a square (230400 = 4802).

The spelling of 230300100 in words is "two hundred thirty million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 2075 2490 2988 3083 3735 4150 4980 6166 6225 7470 8300 9249 12332 12450 14940 15415 18498 18675 24900 27747 30830 36996 37350 46245 55494 61660 74700 77075 92490 110988 138735 154150 184980 231225 255889 277470 308300 462450 511778 554940 693675 767667 924900 1023556 1279445 1387350 1535334 2303001 2558890 2774700 3070668 3838335 4606002 5117780 6397225 7676670 9212004 11515005 12794450 15353340 19191675 23030010 25588900 38383350 46060020 57575025 76766700 115150050 230300100