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21213033300 = 2234522618893
BaseRepresentation
bin10011110000011001…
…010011001101010100
32000202101001202010000
4103300121103031110
5321421014031200
613424540531300
71350451544064
oct236031231524
960671052100
1021213033300
118aa6227988
124140250b30
132000ab3514
1410534493a4
158424cd300
hex4f0653354

21213033300 has 90 divisors (see below), whose sum is σ = 68764299758. Its totient is φ = 5656806720.

The previous prime is 21213033277. The next prime is 21213033301. The reversal of 21213033300 is 333031212.

It can be written as a sum of positive squares in 3 ways, for example, as 4981254084 + 16231779216 = 70578^2 + 127404^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21213033301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1301347 + ... + 1317546.

Almost surely, 221213033300 is an apocalyptic number.

21213033300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213033300 is an abundant number, since it is smaller than the sum of its proper divisors (47551266458).

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

21213033300 is a wasteful number, since it uses less digits than its factorization.

21213033300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618919 (or 2618903 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 21213033300 its reverse (333031212), we get a palindrome (21546064512).

The spelling of 21213033300 in words is "twenty-one billion, two hundred thirteen million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 2618893 5237786 7856679 10475572 13094465 15713358 23570037 26188930 31426716 39283395 47140074 52377860 65472325 70710111 78566790 94280148 117850185 130944650 141420222 157133580 196416975 212130333 235700370 261889300 282840444 353550555 392833950 424260666 471400740 589250925 707101110 785667900 848521332 1060651665 1178501850 1414202220 1767752775 2121303330 2357003700 3535505550 4242606660 5303258325 7071011100 10606516650 21213033300