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1220344101 = 32376160077
BaseRepresentation
bin100100010111100…
…1111100100100101
310011001021220101200
41020233033210211
54444402002401
6321032113113
742145516344
oct11057174445
93131256350
101220344101
11576941649
122a0835799
13165a98402
14b8107b5b
1572208686
hex48bcf925

1220344101 has 24 divisors (see below), whose sum is σ = 1840068984. Its totient is φ = 778584960.

The previous prime is 1220344093. The next prime is 1220344117. The reversal of 1220344101 is 1014430221.

1220344101 is a `hidden beast` number, since 1 + 220 + 3 + 441 + 0 + 1 = 666.

1220344101 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 82901025 + 1137443076 = 9105^2 + 33726^2 .

It is not a de Polignac number, because 1220344101 - 23 = 1220344093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220349101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9726 + ... + 50351.

It is an arithmetic number, because the mean of its divisors is an integer number (76669541).

Almost surely, 21220344101 is an apocalyptic number.

It is an amenable number.

1220344101 is a deficient number, since it is larger than the sum of its proper divisors (619724883).

1220344101 is a wasteful number, since it uses less digits than its factorization.

1220344101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60181 (or 60178 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1220344101 is about 34933.4238373510. The cubic root of 1220344101 is about 1068.6301803089.

Adding to 1220344101 its reverse (1014430221), we get a palindrome (2234774322).

The spelling of 1220344101 in words is "one billion, two hundred twenty million, three hundred forty-four thousand, one hundred one".

Divisors: 1 3 9 37 61 111 183 333 549 2257 6771 20313 60077 180231 540693 2222849 3664697 6668547 10994091 20005641 32982273 135593789 406781367 1220344101