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32125205201 = 172777680489
BaseRepresentation
bin11101111010110011…
…111011101011010001
310001220212020111211212
4131322303323223101
51011243023031301
622431430345505
72215043511245
oct357263735321
9101825214755
1032125205201
1112695928171
1262867bb295
13304c76967b
1417aa7b6425
15c804be4bb
hex77acfbad1

32125205201 has 8 divisors (see below), whose sum is σ = 34027221960. Its totient is φ = 30224555008.

The previous prime is 32125205183. The next prime is 32125205207. The reversal of 32125205201 is 10250252123.

It can be written as a sum of positive squares in 4 ways, for example, as 637057600 + 31488147601 = 25240^2 + 177449^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 32125205201 - 214 = 32125188817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32125205207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 293036 + ... + 387453.

It is an arithmetic number, because the mean of its divisors is an integer number (4253402745).

Almost surely, 232125205201 is an apocalyptic number.

It is an amenable number.

32125205201 is a deficient number, since it is larger than the sum of its proper divisors (1902016759).

32125205201 is a wasteful number, since it uses less digits than its factorization.

32125205201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683283.

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 32125205201 its reverse (10250252123), we get a palindrome (42375457324).

The spelling of 32125205201 in words is "thirty-two billion, one hundred twenty-five million, two hundred five thousand, two hundred one".

Divisors: 1 17 2777 47209 680489 11568313 1889717953 32125205201