Search a number
-
+
111112131411121 is a prime number
BaseRepresentation
bin11001010000111001001111…
…000111110111110010110001
3112120102012211111000002100211
4121100321033013313302301
5104030430121120123441
61032152113011344121
732255405124526621
oct3120711707676261
9476365744002324
10111112131411121
1132449432548995
1210566337bb2041
1349ccaa15020b9
141d61bda672881
15cca435240a81
hex650e4f1f7cb1

111112131411121 has 2 divisors, whose sum is σ = 111112131411122. Its totient is φ = 111112131411120.

The previous prime is 111112131411103. The next prime is 111112131411143. The reversal of 111112131411121 is 121114131211111.

It is a happy number.

It is an a-pointer prime, because the next prime (111112131411143) can be obtained adding 111112131411121 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 76924547000896 + 34187584410225 = 8770664^2 + 5847015^2 .

It is a cyclic number.

It is not a de Polignac number, because 111112131411121 - 27 = 111112131410993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 111112131411092 and 111112131411101.

It is not a weakly prime, because it can be changed into another prime (111112131414121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55556065705560 + 55556065705561.

It is an arithmetic number, because the mean of its divisors is an integer number (55556065705561).

Almost surely, 2111112131411121 is an apocalyptic number.

It is an amenable number.

111112131411121 is a deficient number, since it is larger than the sum of its proper divisors (1).

111112131411121 is an equidigital number, since it uses as much as digits as its factorization.

111112131411121 is an evil number, because the sum of its binary digits is even.

The product of its digits is 48, while the sum is 22.

Adding to 111112131411121 its reverse (121114131211111), we get a palindrome (232226262622232).

The spelling of 111112131411121 in words is "one hundred eleven trillion, one hundred twelve billion, one hundred thirty-one million, four hundred eleven thousand, one hundred twenty-one".