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213302121300 = 223252237002357
BaseRepresentation
bin1100011010100111001…
…1000001001101010100
3202101120101120110110200
43012221303001031110
511443320320340200
6241553432420500
721260553054522
oct3065163011524
9671511513420
10213302121300
1182508539884
123540a547730
1317164182378
14a476a13312
1558361a3800
hex31a9cc1354

213302121300 has 54 divisors (see below), whose sum is σ = 668583651918. Its totient is φ = 56880565440.

The previous prime is 213302121281. The next prime is 213302121313. The reversal of 213302121300 is 3121203312.

213302121300 is a `hidden beast` number, since 21 + 330 + 2 + 12 + 1 + 300 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6819126084 + 206482995216 = 82578^2 + 454404^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 118500279 + ... + 118502078.

Almost surely, 2213302121300 is an apocalyptic number.

213302121300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213302121300 is an abundant number, since it is smaller than the sum of its proper divisors (455281530618).

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

213302121300 is a wasteful number, since it uses less digits than its factorization.

213302121300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237002377 (or 237002367 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213302121300 its reverse (3121203312), we get a palindrome (216423324612).

The spelling of 213302121300 in words is "two hundred thirteen billion, three hundred two million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 237002357 474004714 711007071 948009428 1185011785 1422014142 2133021213 2370023570 2844028284 3555035355 4266042426 4740047140 5925058925 7110070710 8532084852 10665106065 11850117850 14220141420 17775176775 21330212130 23700235700 35550353550 42660424260 53325530325 71100707100 106651060650 213302121300