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103122310301 = 1718133513913
BaseRepresentation
bin110000000001010010…
…0011001010010011101
3100212011202211010202222
41200002210121102131
53142143302412201
6115212420555125
710310316113663
oct1400244312235
9325152733688
10103122310301
113a80894603a
1217b9b552aa5
13995564962a
144dc39c4c33
152a383dd91b
hex180291949d

103122310301 has 8 divisors (see below), whose sum is σ = 109791582264. Its totient is φ = 96520066560.

The previous prime is 103122310243. The next prime is 103122310339. The reversal of 103122310301 is 103013221301.

It can be written as a sum of positive squares in 4 ways, for example, as 13885087225 + 89237223076 = 117835^2 + 298726^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-103122310301 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 103122310301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103122310381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16753880 + ... + 16760033.

It is an arithmetic number, because the mean of its divisors is an integer number (13723947783).

Almost surely, 2103122310301 is an apocalyptic number.

It is an amenable number.

103122310301 is a deficient number, since it is larger than the sum of its proper divisors (6669271963).

103122310301 is a wasteful number, since it uses less digits than its factorization.

103122310301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33514111.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 103122310301 its reverse (103013221301), we get a palindrome (206135531602).

The spelling of 103122310301 in words is "one hundred three billion, one hundred twenty-two million, three hundred ten thousand, three hundred one".

Divisors: 1 17 181 3077 33513913 569736521 6066018253 103122310301