Search a number
-
+
2301110010031 = 74160611132283
BaseRepresentation
bin100001011111000100110…
…110000100000010101111
322010222120022110020012211
4201133010312010002233
5300200133130310111
64521040525311251
7325151436234310
oct41370466040257
98128508406184
102301110010031
1180799367a048
12311b79105527
13138cbc339c41
147d5351b8607
153ecccd4d521
hex217c4d840af

2301110010031 has 16 divisors (see below), whose sum is σ = 2694047263488. Its totient is φ = 1924226884800.

The previous prime is 2301110010019. The next prime is 2301110010077. The reversal of 2301110010031 is 1300100111032.

It is a cyclic number.

It is not a de Polignac number, because 2301110010031 - 25 = 2301110009999 is a prime.

It is a super-2 number, since 2×23011100100312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301110009993 and 2301110010020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2301110010631) 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 15 ways as a sum of consecutive naturals, for example, 17329216 + ... + 17461498.

It is an arithmetic number, because the mean of its divisors is an integer number (168377953968).

Almost surely, 22301110010031 is an apocalyptic number.

2301110010031 is a deficient number, since it is larger than the sum of its proper divisors (392937253457).

2301110010031 is a wasteful number, since it uses less digits than its factorization.

2301110010031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192942.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 2301110010031 its reverse (1300100111032), we get a palindrome (3601210121063).

The spelling of 2301110010031 in words is "two trillion, three hundred one billion, one hundred ten million, ten thousand, thirty-one".

Divisors: 1 7 41 287 60611 132283 424277 925981 2485051 5423603 17395357 37965221 8017804913 56124634391 328730001433 2301110010031