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232323203130100 = 22526013865610701
BaseRepresentation
bin110100110100101111110101…
…111111101110001011110100
31010110120212210110212211110121
4310310233311333232023310
5220422340410000130400
62142035450042301324
766635540356546165
oct6464576577561364
91113525713784417
10232323203130100
1168030798571565
12220819627b7844
139c82ca3c62174
14415270844976c
151bcd3d658b21a
hexd34bf5fee2f4

232323203130100 has 36 divisors (see below), whose sum is σ = 504980188445068. Its totient is φ = 92774656800000.

The previous prime is 232323203130041. The next prime is 232323203130107. The reversal of 232323203130100 is 1031302323232.

It can be written as a sum of positive squares in 6 ways, for example, as 20612671453924 + 211710531676176 = 4540118^2 + 14550276^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232323203130107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1932745251 + ... + 1932865450.

Almost surely, 2232323203130100 is an apocalyptic number.

232323203130100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232323203130100 is an abundant number, since it is smaller than the sum of its proper divisors (272656985314968).

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

232323203130100 is a wasteful number, since it uses less digits than its factorization.

232323203130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865611316 (or 3865611309 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 232323203130100 its reverse (1031302323232), we get a palindrome (233354505453332).

The spelling of 232323203130100 in words is "two hundred thirty-two trillion, three hundred twenty-three billion, two hundred three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 601 1202 2404 3005 6010 12020 15025 30050 60100 3865610701 7731221402 15462442804 19328053505 38656107010 77312214020 96640267525 193280535050 386561070100 2323232031301 4646464062602 9292928125204 11616160156505 23232320313010 46464640626020 58080800782525 116161601565050 232323203130100