Search a number
-
+
141122300 = 2252112107109
BaseRepresentation
bin10000110100101…
…01101011111100
3100211112202101212
420122111223330
5242111403200
622000423552
73332343164
oct1032255374
9324482355
10141122300
1172729300
123b317bb8
1323311127
1414a575a4
15c5c9035
hex8695afc

141122300 has 108 divisors (see below), whose sum is σ = 342868680. Its totient is φ = 50371200.

The previous prime is 141122297. The next prime is 141122309. The reversal of 141122300 is 3221141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141122309) 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, 1294646 + ... + 1294754.

It is an arithmetic number, because the mean of its divisors is an integer number (3174710).

Almost surely, 2141122300 is an apocalyptic number.

141122300 is a gapful number since it is divisible by the number (10) 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 141122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171434340).

141122300 is an abundant number, since it is smaller than the sum of its proper divisors (201746380).

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

141122300 is a wasteful number, since it uses less digits than its factorization.

141122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 141122300 is about 11879.4907298251. The cubic root of 141122300 is about 520.6332275908.

Adding to 141122300 its reverse (3221141), we get a palindrome (144343441).

The spelling of 141122300 in words is "one hundred forty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 109 110 121 214 218 220 242 275 428 436 484 535 545 550 605 1070 1090 1100 1177 1199 1210 2140 2180 2354 2398 2420 2675 2725 3025 4708 4796 5350 5450 5885 5995 6050 10700 10900 11663 11770 11990 12100 12947 13189 23326 23540 23980 25894 26378 29425 29975 46652 51788 52756 58315 58850 59950 64735 65945 116630 117700 119900 128293 129470 131890 233260 256586 258940 263780 291575 323675 329725 513172 583150 641465 647350 659450 1166300 1282930 1294700 1318900 1411223 2565860 2822446 3207325 5644892 6414650 7056115 12829300 14112230 28224460 35280575 70561150 141122300