Search a number
-
+
231122100 = 223521126367
BaseRepresentation
bin11011100011010…
…10010010110100
3121002220012220210
431301222102310
5433131401400
634533425420
75504335236
oct1561522264
9532805823
10231122100
1110950a500
126549b270
1338b62c51
14229a4256
1515455950
hexdc6a4b4

231122100 has 108 divisors (see below), whose sum is σ = 735147392. Its totient is φ = 56020800.

The previous prime is 231122071. The next prime is 231122113. The reversal of 231122100 is 1221132.

231122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 33117 + ... + 39483.

Almost surely, 2231122100 is an apocalyptic number.

231122100 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 231122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367573696).

231122100 is an abundant number, since it is smaller than the sum of its proper divisors (504025292).

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

231122100 is a wasteful number, since it uses less digits than its factorization.

231122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6406 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 231122100 is about 15202.7004180178. The cubic root of 231122100 is about 613.6873317436.

Adding to 231122100 its reverse (1221132), we get a palindrome (232343232).

The spelling of 231122100 in words is "two hundred thirty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 6050 6367 7260 9075 12100 12734 18150 19101 25468 31835 36300 38202 63670 70037 76404 95505 127340 140074 159175 191010 210111 280148 318350 350185 382020 420222 477525 636700 700370 770407 840444 955050 1050555 1400740 1540814 1750925 1910100 2101110 2311221 3081628 3501850 3852035 4202220 4622442 5252775 7003700 7704070 9244884 10505550 11556105 15408140 19260175 21011100 23112210 38520350 46224420 57780525 77040700 115561050 231122100