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13332000320 = 26541662501
BaseRepresentation
bin11000110101010011…
…00010111001000000
31021102010111210021122
430122221202321000
5204300443002240
610042531011412
7651244063412
oct143251427100
937363453248
1013332000320
115721626191
122700a39b68
1313460c50b2
149068ac9b2
155306824b5
hex31aa62e40

13332000320 has 28 divisors (see below), whose sum is σ = 31746826524. Its totient is φ = 5332800000.

The previous prime is 13332000259. The next prime is 13332000323. The reversal of 13332000320 is 2300023331.

It can be written as a sum of positive squares in 2 ways, for example, as 10205848576 + 3126151744 = 101024^2 + 55912^2 .

It is not an unprimeable number, because it can be changed into a prime (13332000323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20830931 + ... + 20831570.

It is an arithmetic number, because the mean of its divisors is an integer number (1133815233).

Almost surely, 213332000320 is an apocalyptic number.

13332000320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332000320 is an abundant number, since it is smaller than the sum of its proper divisors (18414826204).

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

13332000320 is an equidigital number, since it uses as much as digits as its factorization.

13332000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41662518 (or 41662508 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 13332000320 its reverse (2300023331), we get a palindrome (15632023651).

The spelling of 13332000320 in words is "thirteen billion, three hundred thirty-two million, three hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 41662501 83325002 166650004 208312505 333300008 416625010 666600016 833250020 1333200032 1666500040 2666400064 3333000080 6666000160 13332000320