Search a number
-
+
200123023300 = 225219536132579
BaseRepresentation
bin1011101001100001000…
…0101111111111000100
3201010112220202220201221
42322120100233333010
511234322443221200
6231534002530124
720313143426344
oct2723020577704
9633486686657
10200123023300
1177965258452
1232950966944
1315b43964225
149986586d24
15531417591a
hex2e9842ffc4

200123023300 has 144 divisors (see below), whose sum is σ = 473397825600. Its totient is φ = 73183219200.

The previous prime is 200123023297. The next prime is 200123023427. The reversal of 200123023300 is 3320321002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6126411 + ... + 6158989.

It is an arithmetic number, because the mean of its divisors is an integer number (3287484900).

Almost surely, 2200123023300 is an apocalyptic number.

200123023300 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 200123023300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236698912800).

200123023300 is an abundant number, since it is smaller than the sum of its proper divisors (273274802300).

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

200123023300 is a wasteful number, since it uses less digits than its factorization.

200123023300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32726 (or 32719 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 200123023300 its reverse (3320321002), we get a palindrome (203443344302).

The spelling of 200123023300 in words is "two hundred billion, one hundred twenty-three million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 53 61 76 95 100 106 122 190 212 244 265 305 380 475 530 610 950 1007 1060 1159 1220 1325 1525 1900 2014 2318 2650 3050 3233 4028 4636 5035 5300 5795 6100 6466 10070 11590 12932 16165 20140 23180 25175 28975 32330 32579 50350 57950 61427 64660 65158 80825 100700 115900 122854 130316 161650 162895 245708 307135 323300 325790 614270 619001 651580 814475 1228540 1238002 1535675 1628950 1726687 1987319 2476004 3071350 3095005 3257900 3453374 3974638 6142700 6190010 6906748 7949276 8633435 9936595 12380020 15475025 17266870 19873190 30950050 32807053 34533740 37759061 39746380 43167175 49682975 61900100 65614106 75518122 86334350 99365950 105327907 131228212 151036244 164035265 172668700 188795305 198731900 210655814 328070530 377590610 421311628 526639535 656141060 755181220 820176325 943976525 1053279070 1640352650 1887953050 2001230233 2106558140 2633197675 3280705300 3775906100 4002460466 5266395350 8004920932 10006151165 10532790700 20012302330 40024604660 50030755825 100061511650 200123023300