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231243100 = 225211229659
BaseRepresentation
bin11011100100001…
…11110101011100
3121010010100220021
431302013311130
5433144234400
634540201524
75505351064
oct1562076534
9533110807
10231243100
11109592400
12655392a4
1338ba604a
14229d63a4
151547b71a
hexdc87d5c

231243100 has 108 divisors (see below), whose sum is σ = 571447800. Its totient is φ = 81065600.

The previous prime is 231243097. The next prime is 231243109. The reversal of 231243100 is 1342132.

It is a happy number.

It is a super-2 number, since 2×2312431002 = 106946742595220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231243109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 350571 + ... + 351229.

Almost surely, 2231243100 is an apocalyptic number.

231243100 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 231243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285723900).

231243100 is an abundant number, since it is smaller than the sum of its proper divisors (340204700).

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

231243100 is a wasteful number, since it uses less digits than its factorization.

231243100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 231243100 is about 15206.6794534507. The cubic root of 231243100 is about 613.7944082086.

Adding to 231243100 its reverse (1342132), we get a palindrome (232585232).

The spelling of 231243100 in words is "two hundred thirty-one million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 100 110 116 121 145 220 242 275 290 319 484 550 580 605 638 659 725 1100 1210 1276 1318 1450 1595 2420 2636 2900 3025 3190 3295 3509 6050 6380 6590 7018 7249 7975 12100 13180 14036 14498 15950 16475 17545 19111 28996 31900 32950 35090 36245 38222 65900 70180 72490 76444 79739 87725 95555 144980 159478 175450 181225 191110 210221 318956 350900 362450 382220 398695 420442 477775 724900 797390 840884 955550 1051105 1594780 1911100 1993475 2102210 2312431 3986950 4204420 4624862 5255525 7973900 9249724 10511050 11562155 21022100 23124310 46248620 57810775 115621550 231243100