Search a number
-
+
210020110221200 = 24523139114330633
BaseRepresentation
bin101111110000001100011110…
…000100001011111110010000
31000112121201121120210101201012
4233300030132010023332100
5210011432141204034300
62022401523502230052
762144311055021456
oct5760143604137620
91015551546711635
10210020110221200
1160a12035009194
121b67b379b85328
139025a718a3c76
1439c105592a9d6
151943189771435
hexbf031e10bf90

210020110221200 has 120 divisors (see below), whose sum is σ = 520983169276416. Its totient is φ = 81277301376000.

The previous prime is 210020110221191. The next prime is 210020110221209. The reversal of 210020110221200 is 2122011020012.

It is an interprime number because it is at equal distance from previous prime (210020110221191) and next prime (210020110221209).

It is not an unprimeable number, because it can be changed into a prime (210020110221209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46331084 + ... + 50661716.

Almost surely, 2210020110221200 is an apocalyptic number.

210020110221200 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 210020110221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260491584638208).

210020110221200 is an abundant number, since it is smaller than the sum of its proper divisors (310963059055216).

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

210020110221200 is a wasteful number, since it uses less digits than its factorization.

210020110221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334593 (or 4334582 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210020110221200 its reverse (2122011020012), we get a palindrome (212142121241212).

The spelling of 210020110221200 in words is "two hundred ten trillion, twenty billion, one hundred ten million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 3911 6200 7822 12400 15644 19555 31288 39110 62576 78220 97775 121241 156440 195550 242482 312880 391100 484964 606205 782200 969928 1212410 1564400 1939856 2424820 3031025 4330633 4849640 6062050 8661266 9699280 12124100 17322532 21653165 24248200 34645064 43306330 48496400 69290128 86612660 108265825 134249623 173225320 216531650 268499246 346450640 433063300 536998492 671248115 866126600 1073996984 1342496230 1732253200 2147993968 2684992460 3356240575 5369984920 6712481150 10739969840 13424962300 16937105663 26849924600 33874211326 53699849200 67748422652 84685528315 135496845304 169371056630 270993690608 338742113260 423427641575 525050275553 677484226520 846855283150 1050100551106 1354968453040 1693710566300 2100201102212 2625251377765 3387421132600 4200402204424 5250502755530 6774842265200 8400804408848 10501005511060 13126256888825 21002011022120 26252513777650 42004022044240 52505027555300 105010055110600 210020110221200