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13165217320 = 2351272125873
BaseRepresentation
bin11000100001011010…
…10100011000101000
31020222111200100000111
430100231110120220
5203430243423240
610014212144104
7644150333533
oct142055243050
936874610014
1013165217320
1156464706a2
122675008034
13131a69b128
148cc695a1a
15520bda1ea
hex310b54628

13165217320 has 32 divisors (see below), whose sum is σ = 29625212520. Its totient is φ = 5265469440.

The previous prime is 13165217297. The next prime is 13165217321. The reversal of 13165217320 is 2371256131.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12301915396 + 863301924 = 110914^2 + 29382^2 .

It is not an unprimeable number, because it can be changed into a prime (13165217321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 495904 + ... + 521776.

Almost surely, 213165217320 is an apocalyptic number.

13165217320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13165217320 is an abundant number, since it is smaller than the sum of its proper divisors (16459995200).

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

13165217320 is a wasteful number, since it uses less digits than its factorization.

13165217320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38605 (or 38601 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The spelling of 13165217320 in words is "thirteen billion, one hundred sixty-five million, two hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 12721 25442 25873 50884 51746 63605 101768 103492 127210 129365 206984 254420 258730 508840 517460 1034920 329130433 658260866 1316521732 1645652165 2633043464 3291304330 6582608660 13165217320