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106500944917 is a prime number
BaseRepresentation
bin110001100101111110…
…0110111010000010101
3101011220020022120011101
41203023330313100111
53221103220214132
6120531552510101
710460123044453
oct1431374672025
9334806276141
10106500944917
1141192009254
1218782b4b331
13a073601703
1452245cd9d3
152b84d257e7
hex18cbf37415

106500944917 has 2 divisors, whose sum is σ = 106500944918. Its totient is φ = 106500944916.

The previous prime is 106500944909. The next prime is 106500944969. The reversal of 106500944917 is 719449005601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73250881201 + 33250063716 = 270649^2 + 182346^2 .

It is a cyclic number.

It is not a de Polignac number, because 106500944917 - 23 = 106500944909 is a prime.

It is a super-3 number, since 3×1065009449173 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106500974917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53250472458 + 53250472459.

It is an arithmetic number, because the mean of its divisors is an integer number (53250472459).

Almost surely, 2106500944917 is an apocalyptic number.

It is an amenable number.

106500944917 is a deficient number, since it is larger than the sum of its proper divisors (1).

106500944917 is an equidigital number, since it uses as much as digits as its factorization.

106500944917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 106500944917 in words is "one hundred six billion, five hundred million, nine hundred forty-four thousand, nine hundred seventeen".