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111002112257 is a prime number
BaseRepresentation
bin110011101100000111…
…1011101000100000001
3101121111221001112221212
41213120033131010001
53304313020043012
6122554344255505
711006510246351
oct1473017350401
9347457045855
10111002112257
1143091886963
121961a471595
13a60ccc663a
145530320b61
152d4a094b22
hex19d83dd101

111002112257 has 2 divisors, whose sum is σ = 111002112258. Its totient is φ = 111002112256.

The previous prime is 111002112223. The next prime is 111002112373. The reversal of 111002112257 is 752211200111.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110500397056 + 501715201 = 332416^2 + 22399^2 .

It is a cyclic number.

It is not a de Polignac number, because 111002112257 - 232 = 106707144961 is a prime.

It is not a weakly prime, because it can be changed into another prime (111002114257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55501056128 + 55501056129.

It is an arithmetic number, because the mean of its divisors is an integer number (55501056129).

Almost surely, 2111002112257 is an apocalyptic number.

It is an amenable number.

111002112257 is a deficient number, since it is larger than the sum of its proper divisors (1).

111002112257 is an equidigital number, since it uses as much as digits as its factorization.

111002112257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 280, while the sum is 23.

Adding to 111002112257 its reverse (752211200111), we get a palindrome (863213312368).

The spelling of 111002112257 in words is "one hundred eleven billion, two million, one hundred twelve thousand, two hundred fifty-seven".