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13331222500 = 225453100613
BaseRepresentation
bin11000110101001101…
…00100111111100100
31021102002001021022111
430122212210333210
5204300243110000
610042502210404
7651234343621
oct143246447744
937362037274
1013331222500
115721144862
122700723a04
131345bb204b
14906749348
1553057bcba
hex31a9a4fe4

13331222500 has 60 divisors (see below), whose sum is σ = 29703063852. Its totient is φ = 5231824000.

The previous prime is 13331222473. The next prime is 13331222521. The reversal of 13331222500 is 522213331.

It can be written as a sum of positive squares in 10 ways, for example, as 7825879296 + 5505343204 = 88464^2 + 74198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82194 + ... + 182806.

Almost surely, 213331222500 is an apocalyptic number.

13331222500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13331222500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851531926).

13331222500 is an abundant number, since it is smaller than the sum of its proper divisors (16371841352).

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

13331222500 is a wasteful number, since it uses less digits than its factorization.

13331222500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100690 (or 100673 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 13331222500 its reverse (522213331), we get a palindrome (13853435831).

The spelling of 13331222500 in words is "thirteen billion, three hundred thirty-one million, two hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 125 212 250 265 500 530 625 1060 1250 1325 2500 2650 5300 6625 13250 26500 33125 66250 100613 132500 201226 402452 503065 1006130 2012260 2515325 5030650 5332489 10061300 10664978 12576625 21329956 25153250 26662445 50306500 53324890 62883125 106649780 125766250 133312225 251532500 266624450 533248900 666561125 1333122250 2666244500 3332805625 6665611250 13331222500