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21213213300 = 22325223570237
BaseRepresentation
bin10011110000011001…
…111111001001110100
32000202101101220000200
4103300121333021310
5321421040311200
613424544440500
71350453223626
oct236031771164
960671356020
1021213213300
118aa6340144
124140319130
132000b47426
141053494c16
15842516800
hex4f067f274

21213213300 has 54 divisors (see below), whose sum is σ = 66491641398. Its totient is φ = 5656856640.

The previous prime is 21213213269. The next prime is 21213213311. The reversal of 21213213300 is 331231212.

21213213300 is a `hidden beast` number, since 2 + 12 + 1 + 321 + 330 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5120261136 + 16092952164 = 71556^2 + 126858^2 .

It is a super-2 number, since 2×212132133002 (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11784219 + ... + 11786018.

Almost surely, 221213213300 is an apocalyptic number.

21213213300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21213213300 is an abundant number, since it is smaller than the sum of its proper divisors (45278428098).

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

21213213300 is a wasteful number, since it uses less digits than its factorization.

21213213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23570257 (or 23570247 counting only the distinct ones).

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

Adding to 21213213300 its reverse (331231212), we get a palindrome (21544444512).

The spelling of 21213213300 in words is "twenty-one billion, two hundred thirteen million, two hundred thirteen 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 23570237 47140474 70710711 94280948 117851185 141421422 212132133 235702370 282842844 353553555 424264266 471404740 589255925 707107110 848528532 1060660665 1178511850 1414214220 1767767775 2121321330 2357023700 3535535550 4242642660 5303303325 7071071100 10606606650 21213213300