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103320113121 = 3217675294857
BaseRepresentation
bin110000000111001011…
…0111100111111100001
3100212200120000120020100
41200032112330333201
53143044422104441
6115244204333013
710315240320411
oct1401626747741
9325616016210
10103320113121
113a8aa568245
1218035844169
139987614814
145001d94641
152a4a961cb6
hex180e5bcfe1

103320113121 has 12 divisors (see below), whose sum is σ = 158018996772. Its totient is φ = 64828306176.

The previous prime is 103320113111. The next prime is 103320113123. The reversal of 103320113121 is 121311023301.

103320113121 is a `hidden beast` number, since 10 + 332 + 0 + 11 + 312 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35178753600 + 68141359521 = 187560^2 + 261039^2 .

It is not a de Polignac number, because 103320113121 - 217 = 103319982049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103320113094 and 103320113103.

It is not an unprimeable number, because it can be changed into a prime (103320113123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337647276 + ... + 337647581.

It is an arithmetic number, because the mean of its divisors is an integer number (13168249731).

Almost surely, 2103320113121 is an apocalyptic number.

It is an amenable number.

103320113121 is a deficient number, since it is larger than the sum of its proper divisors (54698883651).

103320113121 is a wasteful number, since it uses less digits than its factorization.

103320113121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675294880 (or 675294877 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103320113121 its reverse (121311023301), we get a palindrome (224631136422).

The spelling of 103320113121 in words is "one hundred three billion, three hundred twenty million, one hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 9 17 51 153 675294857 2025884571 6077653713 11480012569 34440037707 103320113121