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109993931240917 is a prime number
BaseRepresentation
bin11001000000100111110101…
…001100101111010111010101
3112102110022120012002212201011
4121000213311030233113111
5103404120032344202132
61025534303041132221
732111541104103433
oct3100476514572725
9472408505085634
10109993931240917
1132058189716719
121040568902a071
13494b4c9bac959
141d23a3dd53d53
15cab2dba46b47
hex6409f532f5d5

109993931240917 has 2 divisors, whose sum is σ = 109993931240918. Its totient is φ = 109993931240916.

The previous prime is 109993931240899. The next prime is 109993931240923. The reversal of 109993931240917 is 719042139399901.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99386364271441 + 10607566969476 = 9969271^2 + 3256926^2 .

It is an emirp because it is prime and its reverse (719042139399901) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 109993931240917 - 227 = 109993797023189 is a prime.

It is a super-3 number, since 3×1099939312409173 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (109993931540917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54996965620458 + 54996965620459.

It is an arithmetic number, because the mean of its divisors is an integer number (54996965620459).

Almost surely, 2109993931240917 is an apocalyptic number.

It is an amenable number.

109993931240917 is a deficient number, since it is larger than the sum of its proper divisors (1).

109993931240917 is an equidigital number, since it uses as much as digits as its factorization.

109993931240917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29760696, while the sum is 67.

The spelling of 109993931240917 in words is "one hundred nine trillion, nine hundred ninety-three billion, nine hundred thirty-one million, two hundred forty thousand, nine hundred seventeen".