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121112993 is a prime number
BaseRepresentation
bin1110011100000…
…00100110100001
322102220011210102
413032000212201
5222001103433
620003512145
73000305051
oct716004641
9272804712
10121112993
1162401a91
1234688655
131c1266c1
1412129561
15a9754e8
hex73809a1

121112993 has 2 divisors, whose sum is σ = 121112994. Its totient is φ = 121112992.

The previous prime is 121112989. The next prime is 121113067. The reversal of 121112993 is 399211121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97851664 + 23261329 = 9892^2 + 4823^2 .

It is an emirp because it is prime and its reverse (399211121) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 121112993 - 22 = 121112989 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (121112923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60556496 + 60556497.

It is an arithmetic number, because the mean of its divisors is an integer number (60556497).

Almost surely, 2121112993 is an apocalyptic number.

It is an amenable number.

121112993 is a deficient number, since it is larger than the sum of its proper divisors (1).

121112993 is an equidigital number, since it uses as much as digits as its factorization.

121112993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 29.

The square root of 121112993 is about 11005.1348469703. The cubic root of 121112993 is about 494.7626560012.

The spelling of 121112993 in words is "one hundred twenty-one million, one hundred twelve thousand, nine hundred ninety-three".