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21213334242 = 2335918013697
BaseRepresentation
bin10011110000011010…
…011100101011100010
32000202101122000221000
4103300122130223202
5321421103143432
613424551212430
71350454236342
oct236032345342
960671560830
1021213334242
118aa6412aa1
124140377116
132000b8a4a9
1410534c6d22
1584253c57c
hex4f069cae2

21213334242 has 64 divisors (see below), whose sum is σ = 47979331200. Its totient is φ = 6945523200.

The previous prime is 21213334237. The next prime is 21213334253. The reversal of 21213334242 is 24243331212.

21213334242 is a `hidden beast` number, since 21 + 213 + 3 + 3 + 424 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 5736138 + ... + 5739834.

It is an arithmetic number, because the mean of its divisors is an integer number (749677050).

Almost surely, 221213334242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21213334242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23989665600).

21213334242 is an abundant number, since it is smaller than the sum of its proper divisors (26765996958).

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

21213334242 is a wasteful number, since it uses less digits than its factorization.

21213334242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5562 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

Adding to 21213334242 its reverse (24243331212), we get a palindrome (45456665454).

The spelling of 21213334242 in words is "twenty-one billion, two hundred thirteen million, three hundred thirty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 59 118 177 354 531 1062 1593 1801 3186 3602 3697 5403 7394 10806 11091 16209 22182 32418 33273 48627 66546 97254 99819 106259 199638 212518 218123 318777 436246 637554 654369 956331 1308738 1912662 1963107 2868993 3926214 5737986 5889321 6658297 11778642 13316594 19974891 39949782 59924673 119849346 179774019 359548038 392839523 785679046 1178518569 2357037138 3535555707 7071111414 10606667121 21213334242