Search a number
-
+
111020121112997 is a prime number
BaseRepresentation
bin11001001111100011100010…
…111000011100000110100101
3112120002102100010101122122102
4121033203202320130012211
5104022423202001103442
61032041534535341445
732245640045100605
oct3117434270340645
9476072303348572
10111020121112997
1132413407097098
1210550539b21885
1349c41ca06b305
141d5b58c798c05
15cc7d4c66a232
hex64f8e2e1c1a5

111020121112997 has 2 divisors, whose sum is σ = 111020121112998. Its totient is φ = 111020121112996.

The previous prime is 111020121112921. The next prime is 111020121113023. The reversal of 111020121112997 is 799211121020111.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90327802760836 + 20692318352161 = 9504094^2 + 4548881^2 .

It is a cyclic number.

It is not a de Polignac number, because 111020121112997 - 210 = 111020121111973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 111020121112997.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111020121112097) 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 as a sum of consecutive naturals, namely, 55510060556498 + 55510060556499.

It is an arithmetic number, because the mean of its divisors is an integer number (55510060556499).

Almost surely, 2111020121112997 is an apocalyptic number.

It is an amenable number.

111020121112997 is a deficient number, since it is larger than the sum of its proper divisors (1).

111020121112997 is an equidigital number, since it uses as much as digits as its factorization.

111020121112997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 38.

The spelling of 111020121112997 in words is "one hundred eleven trillion, twenty billion, one hundred twenty-one million, one hundred twelve thousand, nine hundred ninety-seven".