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13381122066 = 2313738392801
BaseRepresentation
bin11000111011001001…
…11011100000010010
31021112112221102122120
430131210323200102
5204401031401231
610051443515110
7652411442454
oct143544734022
937475842576
1013381122066
115747327074
122715388a96
131353333810
1490d2182d4
15534b36d96
hex31d93b812

13381122066 has 64 divisors (see below), whose sum is σ = 29260949760. Its totient is φ = 4054579200.

The previous prime is 13381122043. The next prime is 13381122103. The reversal of 13381122066 is 66022118331.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4775866 + ... + 4778666.

It is an arithmetic number, because the mean of its divisors is an integer number (457202340).

Almost surely, 213381122066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13381122066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630474880).

13381122066 is an abundant number, since it is smaller than the sum of its proper divisors (15879827694).

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

13381122066 is a wasteful number, since it uses less digits than its factorization.

13381122066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731.

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 13381122066 in words is "thirteen billion, three hundred eighty-one million, one hundred twenty-two thousand, sixty-six".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 839 949 1678 1898 2517 2801 2847 5034 5602 5694 8403 10907 16806 21814 32721 36413 61247 65442 72826 109239 122494 183741 204473 218478 367482 408946 613419 796211 1226838 1592422 2350039 2388633 2658149 4700078 4777266 5316298 7050117 7974447 14100234 15948894 30550507 61101014 91651521 171552847 183303042 343105694 514658541 1029317082 2230187011 4460374022 6690561033 13381122066