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7111212121117 = 132924178268181
BaseRepresentation
bin110011101111011010101…
…0001011011110000011101
3221011211021121012002100001
41213132311101123300131
51413002230300333432
623042502403134301
71332524315461366
oct147366521336035
927154247162301
107111212121117
1122a1936942a45
1296a24a674391
133c7779ca1b60
141a82823c2b6d
15c4ea3e289e7
hex677b545bc1d

7111212121117 has 16 divisors (see below), whose sum is σ = 7955178018480. Its totient is φ = 6311546035200.

The previous prime is 7111212121099. The next prime is 7111212121127.

7111212121117 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 227992880196 + 6883219240921 = 477486^2 + 2623589^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-7111212121117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7111212121127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39043234 + ... + 39224947.

It is an arithmetic number, because the mean of its divisors is an integer number (497198626155).

Almost surely, 27111212121117 is an apocalyptic number.

It is an amenable number.

7111212121117 is a deficient number, since it is larger than the sum of its proper divisors (843965897363).

7111212121117 is a wasteful number, since it uses less digits than its factorization.

7111212121117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78268464.

The product of its digits is 392, while the sum is 28.

The spelling of 7111212121117 in words is "seven trillion, one hundred eleven billion, two hundred twelve million, one hundred twenty-one thousand, one hundred seventeen".

Divisors: 1 13 29 241 377 3133 6989 90857 78268181 1017486353 2269777249 18862631621 29507104237 245214211073 547016317009 7111212121117