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2302112311301 = 1121710111080793
BaseRepresentation
bin100001100000000000100…
…101100010100000000101
322011002011011110102002002
4201200000211202200011
5300204211222430201
64521324212155045
7325215326531405
oct41400045424005
98132134412062
102302112311301
11808358424900
123121b8908a85
1313911bba170a
147d5cc364805
153ed3ad3676b
hex21800962805

2302112311301 has 24 divisors (see below), whose sum is σ = 2705796925272. Its totient is φ = 1950219392000.

The previous prime is 2302112311277. The next prime is 2302112311339. The reversal of 2302112311301 is 1031132112032.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1284436888900 + 1017675422401 = 1133330^2 + 1008799^2 .

It is not a de Polignac number, because 2302112311301 - 214 = 2302112294917 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 (2302112311381) 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 23 ways as a sum of consecutive naturals, for example, 5332640 + ... + 5748153.

It is an arithmetic number, because the mean of its divisors is an integer number (112741538553).

Almost surely, 22302112311301 is an apocalyptic number.

It is an amenable number.

2302112311301 is a deficient number, since it is larger than the sum of its proper divisors (403684613971).

2302112311301 is a wasteful number, since it uses less digits than its factorization.

2302112311301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11080933 (or 11080922 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2302112311301 its reverse (1031132112032), we get a palindrome (3333244423333).

The spelling of 2302112311301 in words is "two trillion, three hundred two billion, one hundred twelve million, three hundred eleven thousand, three hundred one".

Divisors: 1 11 17 101 121 187 1111 1717 2057 12221 18887 207757 11080793 121888723 188373481 1119160093 1340775953 2072108291 12310761023 19025721581 22793191201 135418371253 209282937391 2302112311301