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210152525641 = 1722417300857
BaseRepresentation
bin1100001110111000010…
…0010000111101001001
3202002102220001102110121
43003232010100331021
511420343021310031
6240313121543241
721116526665062
oct3035604207511
9662386042417
10210152525641
1181141692a63
123488b7a4b21
1316a817b0cb6
14a2585c9569
1556ee910011
hex30ee110f49

210152525641 has 12 divisors (see below), whose sum is σ = 223334715708. Its totient is φ = 197708122112.

The previous prime is 210152525587. The next prime is 210152525647. The reversal of 210152525641 is 146525251012.

It can be written as a sum of positive squares in 6 ways, for example, as 13530342400 + 196622183241 = 116320^2 + 443421^2 .

It is a de Polignac number, because none of the positive numbers 2k-210152525641 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 210152525597 and 210152525606.

It is not an unprimeable number, because it can be changed into a prime (210152525647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548085 + ... + 848941.

It is an arithmetic number, because the mean of its divisors is an integer number (18611226309).

Almost surely, 2210152525641 is an apocalyptic number.

It is an amenable number.

210152525641 is a deficient number, since it is larger than the sum of its proper divisors (13182190067).

210152525641 is a wasteful number, since it uses less digits than its factorization.

210152525641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303308 (or 303291 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 210152525641 its reverse (146525251012), we get a palindrome (356677776653).

The spelling of 210152525641 in words is "two hundred ten billion, one hundred fifty-two million, five hundred twenty-five thousand, six hundred forty-one".

Divisors: 1 17 289 2417 41089 300857 698513 5114569 86947673 727171369 12361913273 210152525641