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111003123120093 = 3212333680346677
BaseRepresentation
bin11001001111010011101101…
…101110001111011111011101
3112120000210110111200010221200
4121033103231232033133131
5104022133344004320333
61032030044125350113
732244465604406151
oct3117235556173735
9476023414603850
10111003123120093
1132407184179476
1210549195408339
1349c271b5cb649
141d5a81907d061
15cc76a523cc13
hex64f4edb8f7dd

111003123120093 has 6 divisors (see below), whose sum is σ = 160337844506814. Its totient is φ = 74002082080056.

The previous prime is 111003123120083. The next prime is 111003123120103. The reversal of 111003123120093 is 390021321300111.

111003123120093 is a `hidden beast` number, since 1 + 110 + 0 + 31 + 231 + 200 + 93 = 666.

It is an interprime number because it is at equal distance from previous prime (111003123120083) and next prime (111003123120103).

It can be written as a sum of positive squares in only one way, i.e., 109935162090009 + 1067961030084 = 10484997^2 + 1033422^2 .

It is not a de Polignac number, because 111003123120093 - 225 = 111003089565661 is a prime.

It is a super-3 number, since 3×1110031231200933 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111003123120083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6166840173330 + ... + 6166840173347.

It is an arithmetic number, because the mean of its divisors is an integer number (26722974084469).

Almost surely, 2111003123120093 is an apocalyptic number.

It is an amenable number.

111003123120093 is a deficient number, since it is larger than the sum of its proper divisors (49334721386721).

111003123120093 is a wasteful number, since it uses less digits than its factorization.

111003123120093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12333680346683 (or 12333680346680 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 111003123120093 in words is "one hundred eleven trillion, three billion, one hundred twenty-three million, one hundred twenty thousand, ninety-three".

Divisors: 1 3 9 12333680346677 37001041040031 111003123120093