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4101201321 = 375311332609
BaseRepresentation
bin1111010001110011…
…0101110110101001
3101120211010121120020
43310130311312221
531344401420241
61514542551053
7203426431110
oct36434656651
911524117506
104101201321
111815026288
12965598489
13504895c59
142ac978c77
151900b5b66
hexf4735da9

4101201321 has 32 divisors (see below), whose sum is σ = 6423909120. Its totient is φ = 2278907904.

The previous prime is 4101201317. The next prime is 4101201331. The reversal of 4101201321 is 1231021014.

It is not a de Polignac number, because 4101201321 - 22 = 4101201317 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4101201321.

It is not an unprimeable number, because it can be changed into a prime (4101201331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109465 + ... + 142073.

It is an arithmetic number, because the mean of its divisors is an integer number (200747160).

Almost surely, 24101201321 is an apocalyptic number.

It is an amenable number.

4101201321 is a deficient number, since it is larger than the sum of its proper divisors (2322707799).

4101201321 is a wasteful number, since it uses less digits than its factorization.

4101201321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32785.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 4101201321 is about 64040.6224282681. The cubic root of 4101201321 is about 1600.6769688689.

Adding to 4101201321 its reverse (1231021014), we get a palindrome (5332222335).

The spelling of 4101201321 in words is "four billion, one hundred one million, two hundred one thousand, three hundred twenty-one".

Divisors: 1 3 7 21 53 113 159 339 371 791 1113 2373 5989 17967 32609 41923 97827 125769 228263 684789 1728277 3684817 5184831 11054451 12097939 25793719 36293817 77381157 195295301 585885903 1367067107 4101201321