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111100011257 is a prime number
BaseRepresentation
bin110011101111000010…
…0111010001011111001
3101121202202021100010202
41213132010322023321
53310013100330012
6123012202451545
711012106341234
oct1473604721371
9347682240122
10111100011257
1143132072924
1219647203bb5
13a627382a41
14553d32641b
152d53981cc2
hex19de13a2f9

111100011257 has 2 divisors, whose sum is σ = 111100011258. Its totient is φ = 111100011256.

The previous prime is 111100011251. The next prime is 111100011287. The reversal of 111100011257 is 752110001111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57134862841 + 53965148416 = 239029^2 + 232304^2 .

It is a cyclic number.

It is not a de Polignac number, because 111100011257 - 218 = 111099749113 is a prime.

It is not a weakly prime, because it can be changed into another prime (111100011251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550005628 + 55550005629.

It is an arithmetic number, because the mean of its divisors is an integer number (55550005629).

Almost surely, 2111100011257 is an apocalyptic number.

It is an amenable number.

111100011257 is a deficient number, since it is larger than the sum of its proper divisors (1).

111100011257 is an equidigital number, since it uses as much as digits as its factorization.

111100011257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70, while the sum is 20.

Adding to 111100011257 its reverse (752110001111), we get a palindrome (863210012368).

The spelling of 111100011257 in words is "one hundred eleven billion, one hundred million, eleven thousand, two hundred fifty-seven".