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122414003423131 = 7231303726535577
BaseRepresentation
bin11011110101010110111011…
…001100001000011110011011
3121001102122221101002212010111
4123311112323030020132123
5112021112334334020011
61112204114500025151
734533056056546600
oct3365267314103633
9531378841085114
10122414003423131
113600653a673462
12118907a20921b7
13533c78b539364
142232c2580a6a7
15e244085d9121
hex6f55bb30879b

122414003423131 has 24 divisors (see below), whose sum is σ = 147041916798336. Its totient is φ = 101508131007360.

The previous prime is 122414003423071. The next prime is 122414003423149. The reversal of 122414003423131 is 131324300414221.

It is a happy number.

It is not a de Polignac number, because 122414003423131 - 239 = 121864247609243 is a prime.

It is a super-2 number, since 2×1224140034231312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 122414003423093 and 122414003423102.

It is not an unprimeable number, because it can be changed into a prime (122414003423731) 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, 8654586 + ... + 17880991.

It is an arithmetic number, because the mean of its divisors is an integer number (6126746533264).

Almost surely, 2122414003423131 is an apocalyptic number.

122414003423131 is a deficient number, since it is larger than the sum of its proper divisors (24627913375205).

122414003423131 is a wasteful number, since it uses less digits than its factorization.

122414003423131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26538659 (or 26538652 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 122414003423131 its reverse (131324300414221), we get a palindrome (253738303837352).

The spelling of 122414003423131 in words is "one hundred twenty-two trillion, four hundred fourteen billion, three million, four hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 31 49 217 1519 3037 21259 94147 148813 659029 4613203 26535577 185749039 822602887 1300243273 5758220209 40307541463 80588547349 564119831443 2498244967819 3948838820101 17487714774733 122414003423131