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13322013200 = 245248776829
BaseRepresentation
bin11000110100000110…
…11100101000010000
31021101102201101112022
430122003130220100
5204240413410300
610041532551012
7651063146426
oct143203345020
937342641468
1013322013200
115716a24771
1226b9622468
131344009362
1490542d116
1552e85d285
hex31a0dca10

13322013200 has 60 divisors (see below), whose sum is σ = 32017387140. Its totient is φ = 5326932480.

The previous prime is 13322013197. The next prime is 13322013217. The reversal of 13322013200 is 231022331.

It can be written as a sum of positive squares in 6 ways, for example, as 731377936 + 12590635264 = 27044^2 + 112208^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947386 + ... + 1954214.

It is an arithmetic number, because the mean of its divisors is an integer number (533623119).

Almost surely, 213322013200 is an apocalyptic number.

13322013200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13322013200 is an abundant number, since it is smaller than the sum of its proper divisors (18695373940).

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

13322013200 is a wasteful number, since it uses less digits than its factorization.

13322013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11724 (or 11713 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13322013200 its reverse (231022331), we get a palindrome (13553035531).

The spelling of 13322013200 in words is "thirteen billion, three hundred twenty-two million, thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 4877 6829 9754 13658 19508 24385 27316 34145 39016 48770 54632 68290 78032 97540 109264 121925 136580 170725 195080 243850 273160 341450 390160 487700 546320 682900 975400 1365800 1950800 2731600 33305033 66610066 133220132 166525165 266440264 333050330 532880528 666100660 832625825 1332201320 1665251650 2664402640 3330503300 6661006600 13322013200