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231323100 = 223521940583
BaseRepresentation
bin11011100100110…
…11010111011100
3121010021102122020
431302123113130
5433204314400
634542020140
75506133241
oct1562332734
9533242566
10231323100
11109637518
1265577650
1338c03598
1422a175c8
15154952a0
hexdc9b5dc

231323100 has 72 divisors (see below), whose sum is σ = 704538240. Its totient is φ = 58438080.

The previous prime is 231323093. The next prime is 231323123. The reversal of 231323100 is 1323132.

231323100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313231002 = 107020753187220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 231323100.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 14592 + ... + 25991.

Almost surely, 2231323100 is an apocalyptic number.

231323100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231323100 is an abundant number, since it is smaller than the sum of its proper divisors (473215140).

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

231323100 is a wasteful number, since it uses less digits than its factorization.

231323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40619 (or 40612 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 231323100 is about 15209.3096490275. The cubic root of 231323100 is about 613.8651820554.

Adding to 231323100 its reverse (1323132), we get a palindrome (232646232).

The spelling of 231323100 in words is "two hundred thirty-one million, three hundred twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 40583 81166 121749 162332 202915 243498 405830 486996 608745 771077 811660 1014575 1217490 1542154 2029150 2313231 2434980 3043725 3084308 3855385 4058300 4626462 6087450 7710770 9252924 11566155 12174900 15421540 19276925 23132310 38553850 46264620 57830775 77107700 115661550 231323100