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112377122141 is a prime number
BaseRepresentation
bin110100010101000110…
…0101100110101011101
3101202001202101021220212
41220222030230311131
53320122020402031
6123343023422205
711055544530464
oct1505214546535
9352052337825
10112377122141
1143727a57169
1219942a54965
13a79bb3555b
145620ba99db
152dcab5012b
hex1a2a32cd5d

112377122141 has 2 divisors, whose sum is σ = 112377122142. Its totient is φ = 112377122140.

The previous prime is 112377122119. The next prime is 112377122149. The reversal of 112377122141 is 141221773211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107692267225 + 4684854916 = 328165^2 + 68446^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-112377122141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112377122098 and 112377122107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112377122149) 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 as a sum of consecutive naturals, namely, 56188561070 + 56188561071.

It is an arithmetic number, because the mean of its divisors is an integer number (56188561071).

Almost surely, 2112377122141 is an apocalyptic number.

It is an amenable number.

112377122141 is a deficient number, since it is larger than the sum of its proper divisors (1).

112377122141 is an equidigital number, since it uses as much as digits as its factorization.

112377122141 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4704, while the sum is 32.

Adding to 112377122141 its reverse (141221773211), we get a palindrome (253598895352).

The spelling of 112377122141 in words is "one hundred twelve billion, three hundred seventy-seven million, one hundred twenty-two thousand, one hundred forty-one".