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3200121 = 33296167
BaseRepresentation
bin1100001101010001111001
320000120202000
430031101321
51304400441
6152331213
736125541
oct14152171
96016660
103200121
111896331
1210a3b09
13880782
145d4321
154332b6
hex30d479

3200121 has 32 divisors (see below), whose sum is σ = 5059200. Its totient is φ = 1995840.

The previous prime is 3200117. The next prime is 3200123. The reversal of 3200121 is 1210023.

It is a happy number.

3200121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3200121 - 22 = 3200117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

3200121 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47730 + ... + 47796.

It is an arithmetic number, because the mean of its divisors is an integer number (158100).

Almost surely, 23200121 is an apocalyptic number.

It is an amenable number.

3200121 is a deficient number, since it is larger than the sum of its proper divisors (1859079).

3200121 is a wasteful number, since it uses less digits than its factorization.

3200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 3200121 is about 1788.8882022083. Note that the first 3 decimals coincide. The cubic root of 3200121 is about 147.3631172881.

Adding to 3200121 its reverse (1210023), we get a palindrome (4410144).

It can be divided in two parts, 3200 and 121, that added together give a triangular number (3321 = T81).

The spelling of 3200121 in words is "three million, two hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 27 29 61 67 87 183 201 261 549 603 783 1647 1769 1809 1943 4087 5307 5829 12261 15921 17487 36783 47763 52461 110349 118523 355569 1066707 3200121