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23130100 = 22527173191
BaseRepresentation
bin101100000111…
…0111111110100
31121112010112101
41120032333310
521410130400
62143431444
7400413460
oct130167764
947463471
1023130100
1112068a94
1278b5584
134a3b066
1431014a0
15206d56a
hex160eff4

23130100 has 72 divisors (see below), whose sum is σ = 57996288. Its totient is φ = 7843200.

The previous prime is 23130089. The next prime is 23130113. The reversal of 23130100 is 103132.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121005 + ... + 121195.

It is an arithmetic number, because the mean of its divisors is an integer number (805504).

Almost surely, 223130100 is an apocalyptic number.

23130100 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 23130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28998144).

23130100 is an abundant number, since it is smaller than the sum of its proper divisors (34866188).

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

23130100 is a wasteful number, since it uses less digits than its factorization.

23130100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 23130100 is about 4809.3762589342. The cubic root of 23130100 is about 284.9219032964.

Adding to 23130100 its reverse (103132), we get a palindrome (23233232).

The spelling of 23130100 in words is "twenty-three million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 173 175 191 346 350 382 692 700 764 865 955 1211 1337 1730 1910 2422 2674 3460 3820 4325 4775 4844 5348 6055 6685 8650 9550 12110 13370 17300 19100 24220 26740 30275 33043 33425 60550 66086 66850 121100 132172 133700 165215 231301 330430 462602 660860 826075 925204 1156505 1652150 2313010 3304300 4626020 5782525 11565050 23130100