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122124223104131 = 294211180107039
BaseRepresentation
bin11011110001001001000010…
…111011111100010010000011
3121000101221222002022102012002
4123301021002323330102003
5112001340402103313011
61111423032114054215
734503120044513453
oct3361110273742203
9530357862272162
10122124223104131
1135a04657196816
12118445ab27a36b
13531b359a83391
142222bb5a93d63
15e1bae822dc3b
hex6f1242efc483

122124223104131 has 4 divisors (see below), whose sum is σ = 126335403211200. Its totient is φ = 117913042997064.

The previous prime is 122124223104113. The next prime is 122124223104173. The reversal of 122124223104131 is 131401322421221.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 122124223104131 - 210 = 122124223103107 is a prime.

It is a super-3 number, since 3×1221242231041313 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29), and also a Moran number because the ratio is a prime number: 4211180107039 = 122124223104131 / (1 + 2 + 2 + 1 + 2 + 4 + 2 + 2 + 3 + 1 + 0 + 4 + 1 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122124223104094 and 122124223104103.

It is not an unprimeable number, because it can be changed into a prime (122124223106131) 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 3 ways as a sum of consecutive naturals, for example, 2105590053491 + ... + 2105590053548.

It is an arithmetic number, because the mean of its divisors is an integer number (31583850802800).

Almost surely, 2122124223104131 is an apocalyptic number.

122124223104131 is a deficient number, since it is larger than the sum of its proper divisors (4211180107069).

122124223104131 is an equidigital number, since it uses as much as digits as its factorization.

122124223104131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211180107068.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 122124223104131 its reverse (131401322421221), we get a palindrome (253525545525352).

The spelling of 122124223104131 in words is "one hundred twenty-two trillion, one hundred twenty-four billion, two hundred twenty-three million, one hundred four thousand, one hundred thirty-one".

Divisors: 1 29 4211180107039 122124223104131