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21246115330 = 2511217260757
BaseRepresentation
bin10011110010010111…
…011111111000000010
32000211200022111010101
4103302113133320002
5322003001142310
613432121553014
71351333000126
oct236227377002
960750274111
1021246115330
119012972a00
12414b34576a
1320078c729b
1410579bb586
1584536543a
hex4f25dfe02

21246115330 has 72 divisors (see below), whose sum is σ = 44654578164. Its totient is φ = 7271278080.

The previous prime is 21246115259. The next prime is 21246115339. The reversal of 21246115330 is 3351164212.

It can be written as a sum of positive squares in 6 ways, for example, as 15916093281 + 5330022049 = 126159^2 + 73007^2 .

It is a super-2 number, since 2×212461153302 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21246115339) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 319312 + ... + 380068.

Almost surely, 221246115330 is an apocalyptic number.

21246115330 is an abundant number, since it is smaller than the sum of its proper divisors (23408462834).

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

21246115330 is a wasteful number, since it uses less digits than its factorization.

21246115330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60820 (or 60792 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 21246115330 its reverse (3351164212), we get a palindrome (24597279542).

The spelling of 21246115330 in words is "twenty-one billion, two hundred forty-six million, one hundred fifteen thousand, three hundred thirty".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 289 374 578 605 935 1210 1445 1870 2057 2890 3179 4114 6358 10285 15895 20570 31790 34969 60757 69938 121514 174845 303785 349690 607570 668327 1032869 1336654 2065738 3341635 5164345 6683270 7351597 10328690 11361559 14703194 17558773 22723118 35117546 36757985 56807795 73515970 87793865 113615590 124977149 175587730 193146503 249954298 386293006 624885745 965732515 1249771490 1931465030 2124611533 4249223066 10623057665 21246115330