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230320100 = 225212311871
BaseRepresentation
bin11011011101001…
…10011111100100
3121001101110210002
431232212133210
5432430220400
634504320432
75464455113
oct1556463744
9531343702
10230320100
1110901199a
1265173118
1338941baa
1422835c7a
1515347ed5
hexdba67e4

230320100 has 36 divisors (see below), whose sum is σ = 500467968. Its totient is φ = 92004000.

The previous prime is 230320093. The next prime is 230320127. The reversal of 230320100 is 1023032.

230320100 = T4280 + T4281 + ... + T4304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122165 + ... + 124035.

It is an arithmetic number, because the mean of its divisors is an integer number (13901888).

Almost surely, 2230320100 is an apocalyptic number.

230320100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230320100 is an abundant number, since it is smaller than the sum of its proper divisors (270147868).

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

230320100 is a wasteful number, since it uses less digits than its factorization.

230320100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 230320100 is about 15176.3006032432. The cubic root of 230320100 is about 612.9766718376.

Adding to 230320100 its reverse (1023032), we get a palindrome (231343132).

The spelling of 230320100 in words is "two hundred thirty million, three hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1231 1871 2462 3742 4924 6155 7484 9355 12310 18710 24620 30775 37420 46775 61550 93550 123100 187100 2303201 4606402 9212804 11516005 23032010 46064020 57580025 115160050 230320100