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34231123300 = 225211227137089
BaseRepresentation
bin11111111000010101…
…010111110101100100
310021100121220020101111
4133320111113311210
51030101131421200
623420415434404
72321164514203
oct377025276544
9107317806344
1034231123300
1113576638650
126773b25a04
1332c6b4a15a
14192a36323a
15d553050ba
hex7f8557d64

34231123300 has 72 divisors (see below), whose sum is σ = 81391978080. Its totient is φ = 12392755200.

The previous prime is 34231123291. The next prime is 34231123301. The reversal of 34231123300 is 332113243.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (34231123301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181156 + ... + 318244.

It is an arithmetic number, because the mean of its divisors is an integer number (1130444140).

Almost surely, 234231123300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34231123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40695989040).

34231123300 is an abundant number, since it is smaller than the sum of its proper divisors (47160854780).

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

34231123300 is a wasteful number, since it uses less digits than its factorization.

34231123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137341 (or 137334 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 34231123300 its reverse (332113243), we get a palindrome (34563236543).

The spelling of 34231123300 in words is "thirty-four billion, two hundred thirty-one million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 227 275 454 550 908 1100 1135 2270 2497 4540 4994 5675 9988 11350 12485 22700 24970 49940 62425 124850 137089 249700 274178 548356 685445 1370890 1507979 2741780 3015958 3427225 6031916 6854450 7539895 13708900 15079790 30159580 31119203 37699475 62238406 75398950 124476812 150797900 155596015 311192030 342311233 622384060 684622466 777980075 1369244932 1555960150 1711556165 3111920300 3423112330 6846224660 8557780825 17115561650 34231123300