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200210011300 = 225213236695987
BaseRepresentation
bin1011101001110101110…
…0100101010010100100
3201010202222110100211201
42322131130211102210
511240012230330200
6231550351212244
720315251005565
oct2723534452244
9633688410751
10200210011300
11779aa371862
1232975b17084
1315b589a0210
149993d4c16c
15531bb09c6a
hex2e9d7254a4

200210011300 has 72 divisors (see below), whose sum is σ = 488217877056. Its totient is φ = 70709612160.

The previous prime is 200210011091. The next prime is 200210011327. The reversal of 200210011300 is 3110012002.

200210011300 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2002100113003 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

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, 3318094 + ... + 3377893.

It is an arithmetic number, because the mean of its divisors is an integer number (6780803848).

Almost surely, 2200210011300 is an apocalyptic number.

200210011300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200210011300 is an abundant number, since it is smaller than the sum of its proper divisors (288007865756).

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

200210011300 is a wasteful number, since it uses less digits than its factorization.

200210011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6696037 (or 6696030 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 200210011300 its reverse (3110012002), we get a palindrome (203320023302).

The spelling of 200210011300 in words is "two hundred billion, two hundred ten million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 23 25 26 46 50 52 65 92 100 115 130 230 260 299 325 460 575 598 650 1150 1196 1300 1495 2300 2990 5980 7475 14950 29900 6695987 13391974 26783948 33479935 66959870 87047831 133919740 154007701 167399675 174095662 308015402 334799350 348191324 435239155 616030804 669598700 770038505 870478310 1540077010 1740956620 2002100113 2176195775 3080154020 3850192525 4004200226 4352391550 7700385050 8008400452 8704783100 10010500565 15400770100 20021001130 40042002260 50052502825 100105005650 200210011300