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103301303121 = 3211477922569
BaseRepresentation
bin110000000110100111…
…1001100101101010001
3100212122020121220202200
41200031033030231101
53143030113144441
6115242253233413
710314621405642
oct1401517145521
9325566556680
10103301303121
113a89a98aa95
121802b492869
139983759c43
144ddd6996c9
152a48e987b6
hex180d3ccb51

103301303121 has 6 divisors (see below), whose sum is σ = 149212993410. Its totient is φ = 68867535408.

The previous prime is 103301303081. The next prime is 103301303137. The reversal of 103301303121 is 121303103301.

It is a happy number.

103301303121 is a `hidden beast` number, since 10 + 330 + 1 + 303 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77526606096 + 25774697025 = 278436^2 + 160545^2 .

It is not a de Polignac number, because 103301303121 - 211 = 103301301073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103301303094 and 103301303103.

It is not an unprimeable number, because it can be changed into a prime (103301323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5738961276 + ... + 5738961293.

It is an arithmetic number, because the mean of its divisors is an integer number (24868832235).

Almost surely, 2103301303121 is an apocalyptic number.

It is an amenable number.

103301303121 is a deficient number, since it is larger than the sum of its proper divisors (45911690289).

103301303121 is a wasteful number, since it uses less digits than its factorization.

103301303121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11477922575 (or 11477922572 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103301303121 its reverse (121303103301), we get a palindrome (224604406422).

The spelling of 103301303121 in words is "one hundred three billion, three hundred one million, three hundred three thousand, one hundred twenty-one".

Divisors: 1 3 9 11477922569 34433767707 103301303121