Search a number
-
+
210021000200200 = 23527314839193553
BaseRepresentation
bin101111110000001101010011…
…000111001100000000001000
31000112121210220121110000101101
4233300031103013030000020
5210011441002022401300
62022402152053431144
762144342112512440
oct5760152307140010
91015553817400341
10210021000200200
1160a12451416622
121b67b58803b4b4
139025b8409c367
1439c10dbbd9120
1519431dc96db6a
hexbf03531cc008

210021000200200 has 96 divisors (see below), whose sum is σ = 576057600668160. Its totient is φ = 69684387148800.

The previous prime is 210021000200189. The next prime is 210021000200201. The reversal of 210021000200200 is 2002000120012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (210021000200201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2419553377 + ... + 2419640176.

It is an arithmetic number, because the mean of its divisors is an integer number (6000600006960).

Almost surely, 2210021000200200 is an apocalyptic number.

210021000200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210021000200200 is an abundant number, since it is smaller than the sum of its proper divisors (366036600467960).

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

210021000200200 is a wasteful number, since it uses less digits than its factorization.

210021000200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4839193607 (or 4839193598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 210021000200200 its reverse (2002000120012), we get a palindrome (212023000320212).

The spelling of 210021000200200 in words is "two hundred ten trillion, twenty-one billion, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 31 35 40 50 56 62 70 100 124 140 155 175 200 217 248 280 310 350 434 620 700 775 868 1085 1240 1400 1550 1736 2170 3100 4340 5425 6200 8680 10850 21700 43400 4839193553 9678387106 19356774212 24195967765 33874354871 38713548424 48391935530 67748709742 96783871060 120979838825 135497419484 150015000143 169371774355 193567742120 241959677650 270994838968 300030000286 338743548710 483919355300 600060000572 677487097420 750075000715 846858871775 967838710600 1050105001001 1200120001144 1354974194840 1500150001430 1693717743550 2100210002002 3000300002860 3387435487100 3750375003575 4200420004004 5250525005005 6000600005720 6774870974200 7500750007150 8400840008008 10501050010010 15001500014300 21002100020020 26252625025025 30003000028600 42004200040040 52505250050050 105010500100100 210021000200200