Search a number
-
+
114021122300 = 225219237136749
BaseRepresentation
bin110101000110000110…
…0000100000011111100
3101220022022212011011122
41222030030010003330
53332003401403200
6124214112210112
711144356356041
oct1521414040374
9356268764148
10114021122300
11443a0a50888
121a121539938
13a9a1605807
1457392751c8
152e75141385
hex1a8c3040fc

114021122300 has 144 divisors (see below), whose sum is σ = 275607360000. Its totient is φ = 40746182400.

The previous prime is 114021122251. The next prime is 114021122309. The reversal of 114021122300 is 3221120411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114021122309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3084326 + ... + 3121074.

It is an arithmetic number, because the mean of its divisors is an integer number (1913940000).

Almost surely, 2114021122300 is an apocalyptic number.

114021122300 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 114021122300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680000).

114021122300 is an abundant number, since it is smaller than the sum of its proper divisors (161586237700).

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

114021122300 is a wasteful number, since it uses less digits than its factorization.

114021122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36876 (or 36869 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 114021122300 its reverse (3221120411), we get a palindrome (117242242711).

The spelling of 114021122300 in words is "one hundred fourteen billion, twenty-one million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 71 76 92 95 100 115 142 190 230 284 355 380 437 460 475 575 710 874 950 1150 1349 1420 1633 1748 1775 1900 2185 2300 2698 3266 3550 4370 5396 6532 6745 7100 8165 8740 10925 13490 16330 21850 26980 31027 32660 33725 36749 40825 43700 62054 67450 73498 81650 124108 134900 146996 155135 163300 183745 310270 367490 620540 698231 734980 775675 845227 918725 1396462 1551350 1690454 1837450 2609179 2792924 3102700 3380908 3491155 3674900 4226135 5218358 6982310 8452270 10436716 13045895 13964620 16059313 16904540 17455775 21130675 26091790 32118626 34911550 42261350 49574401 52183580 60011117 64237252 65229475 69823100 80296565 84522700 99148802 120022234 130458950 160593130 198297604 240044468 247872005 260917900 300055585 321186260 401482825 495744010 600111170 802965650 991488020 1140211223 1200222340 1239360025 1500277925 1605931300 2280422446 2478720050 3000555850 4560844892 4957440100 5701056115 6001111700 11402112230 22804224460 28505280575 57010561150 114021122300