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210020021300 = 225217294260041
BaseRepresentation
bin1100001110011000101…
…0110011010000110100
3202002002122201111200102
43003212022303100310
511420110111140200
6240252025533232
721113330504045
oct3034612632064
9662078644612
10210020021300
1181083910541
1234853344218
1316a601c966b
14a244b768cc
1556e2e896d5
hex30e62b3434

210020021300 has 72 divisors (see below), whose sum is σ = 499191721560. Its totient is φ = 76339916800.

The previous prime is 210020021287. The next prime is 210020021311. The reversal of 210020021300 is 3120020012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 52091671696 + 157928349604 = 228236^2 + 397402^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2080721 + ... + 2179320.

It is an arithmetic number, because the mean of its divisors is an integer number (6933218355).

Almost surely, 2210020021300 is an apocalyptic number.

210020021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210020021300 is an abundant number, since it is smaller than the sum of its proper divisors (289171700260).

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

210020021300 is a wasteful number, since it uses less digits than its factorization.

210020021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260101 (or 4260094 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 210020021300 its reverse (3120020012), we get a palindrome (213140041312).

The spelling of 210020021300 in words is "two hundred ten billion, twenty million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 49300 4260041 8520082 17040164 21300205 42600410 72420697 85200820 106501025 123541189 144841394 213002050 247082378 289682788 362103485 426004100 494164756 617705945 724206970 1235411890 1448413940 1810517425 2100200213 2470823780 3088529725 3621034850 4200400426 6177059450 7242069700 8400800852 10501001065 12354118900 21002002130 42004004260 52505005325 105010010650 210020021300