Search a number
-
+
120021201 = 3213335689
BaseRepresentation
bin1110010011101…
…10000011010001
322100211201010200
413021312003101
5221211134301
615524245413
72655110016
oct711660321
9270751120
10120021201
1161826783
1234240869
131bb33781
1411d2370d
15a80bc86
hex72760d1

120021201 has 6 divisors (see below), whose sum is σ = 173363970. Its totient is φ = 80014128.

The previous prime is 120021197. The next prime is 120021211. The reversal of 120021201 is 102120021.

It can be written as a sum of positive squares in only one way, i.e., 66438801 + 53582400 = 8151^2 + 7320^2 .

It is not a de Polignac number, because 120021201 - 22 = 120021197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 13335689 = 120021201 / (1 + 2 + 0 + 0 + 2 + 1 + 2 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (120021211) 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 5 ways as a sum of consecutive naturals, for example, 6667836 + ... + 6667853.

It is an arithmetic number, because the mean of its divisors is an integer number (28893995).

Almost surely, 2120021201 is an apocalyptic number.

It is an amenable number.

120021201 is a deficient number, since it is larger than the sum of its proper divisors (53342769).

120021201 is a wasteful number, since it uses less digits than its factorization.

120021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13335695 (or 13335692 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 120021201 is about 10955.4187961940. The cubic root of 120021201 is about 493.2714610235.

Adding to 120021201 its reverse (102120021), we get a palindrome (222141222).

It can be divided in two parts, 12002 and 1201, that added together give a triangular number (13203 = T162).

The spelling of 120021201 in words is "one hundred twenty million, twenty-one thousand, two hundred one".

Divisors: 1 3 9 13335689 40007067 120021201