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106817779301 is a prime number
BaseRepresentation
bin110001101111011010…
…1011111011001100101
3101012201022111102020012
41203132311133121211
53222230322414201
6121023231420005
710501021100042
oct1433665373145
9335638442205
10106817779301
1141334940652
1218851084605
13a0c4144a8c
1452547061c9
152ba2a5c5bb
hex18ded5f665

106817779301 has 2 divisors, whose sum is σ = 106817779302. Its totient is φ = 106817779300.

The previous prime is 106817779283. The next prime is 106817779339. The reversal of 106817779301 is 103977718601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84870838276 + 21946941025 = 291326^2 + 148145^2 .

It is an emirp because it is prime and its reverse (103977718601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106817779301 is a prime.

It is a super-2 number, since 2×1068177793012 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106817779301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106817779361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53408889650 + 53408889651.

It is an arithmetic number, because the mean of its divisors is an integer number (53408889651).

Almost surely, 2106817779301 is an apocalyptic number.

It is an amenable number.

106817779301 is a deficient number, since it is larger than the sum of its proper divisors (1).

106817779301 is an equidigital number, since it uses as much as digits as its factorization.

106817779301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 444528, while the sum is 50.

The spelling of 106817779301 in words is "one hundred six billion, eight hundred seventeen million, seven hundred seventy-nine thousand, three hundred one".