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2314122133141 = 721334429105517
BaseRepresentation
bin100001101011001100011…
…011010111111010010101
322012020011011001120110101
4201223030123113322111
5300403310231230031
64531032032254101
7326122050403300
oct41531433277225
98166134046411
102314122133141
118124606847a5
123145aa9a1331
1313a2b4094980
148000b3bbb37
15402e0397361
hex21acc6d7e95

2314122133141 has 24 divisors (see below), whose sum is σ = 2899121822520. Its totient is φ = 1830883243392.

The previous prime is 2314122133133. The next prime is 2314122133153. The reversal of 2314122133141 is 1413312214132.

It can be written as a sum of positive squares in 4 ways, for example, as 7930614916 + 2306191518225 = 89054^2 + 1518615^2 .

It is not a de Polignac number, because 2314122133141 - 23 = 2314122133133 is a prime.

It is a super-2 number, since 2×23141221331412 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314122133111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21878515 + ... + 21984031.

It is an arithmetic number, because the mean of its divisors is an integer number (120796742605).

Almost surely, 22314122133141 is an apocalyptic number.

It is an amenable number.

2314122133141 is a deficient number, since it is larger than the sum of its proper divisors (584999689379).

2314122133141 is a wasteful number, since it uses less digits than its factorization.

2314122133141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139973 (or 139966 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

Adding to 2314122133141 its reverse (1413312214132), we get a palindrome (3727434347273).

The spelling of 2314122133141 in words is "two trillion, three hundred fourteen billion, one hundred twenty-two million, one hundred thirty-three thousand, one hundred forty-one".

Divisors: 1 7 13 49 91 637 34429 105517 241003 447577 738619 1371721 1687021 3133039 5170333 9602047 21931273 67214329 3632844793 25429913551 47226982309 178009394857 330588876163 2314122133141