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128321201 = 29792709
BaseRepresentation
bin1111010011000…
…00011010110001
322221110101121002
413221200122301
5230322234301
620422211345
73115466201
oct751403261
9287411532
10128321201
1166485688
1236b83b55
132077b608
1413084401
15b3eb16b
hex7a606b1

128321201 has 12 divisors (see below), whose sum is σ = 134637300. Its totient is φ = 122155488.

The previous prime is 128321197. The next prime is 128321243. The reversal of 128321201 is 102123821.

It can be written as a sum of positive squares in 2 ways, for example, as 39942400 + 88378801 = 6320^2 + 9401^2 .

It is not a de Polignac number, because 128321201 - 22 = 128321197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (128321101) 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 11 ways as a sum of consecutive naturals, for example, 180635 + ... + 181343.

It is an arithmetic number, because the mean of its divisors is an integer number (11219775).

Almost surely, 2128321201 is an apocalyptic number.

It is an amenable number.

128321201 is a deficient number, since it is larger than the sum of its proper divisors (6316099).

128321201 is an frugal number, since it uses more digits than its factorization.

128321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 128321201 is about 11327.8948176614. The cubic root of 128321201 is about 504.3896177357.

The spelling of 128321201 in words is "one hundred twenty-eight million, three hundred twenty-one thousand, two hundred one".

Divisors: 1 29 79 709 2291 6241 20561 56011 180989 1624319 4424869 128321201