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103305335125 = 53826442681
BaseRepresentation
bin110000000110101111…
…0100101000101010101
3100212122112012202122011
41200031132211011111
53143032131211000
6115242515504221
710315000601026
oct1401536450525
9325575182564
10103305335125
113a8a2194323
12180308b8071
13998453c245
145000028c4d
152a494e32ba
hex180d7a5155

103305335125 has 8 divisors (see below), whose sum is σ = 128925058392. Its totient is φ = 82644268000.

The previous prime is 103305335101. The next prime is 103305335131. The reversal of 103305335125 is 521533503301.

It can be written as a sum of positive squares in 4 ways, for example, as 60078001 + 103245257124 = 7751^2 + 321318^2 .

It is not a de Polignac number, because 103305335125 - 213 = 103305326933 is a prime.

It is a super-3 number, since 3×1033053351253 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 413221216 + ... + 413221465.

It is an arithmetic number, because the mean of its divisors is an integer number (16115632299).

Almost surely, 2103305335125 is an apocalyptic number.

It is an amenable number.

103305335125 is a deficient number, since it is larger than the sum of its proper divisors (25619723267).

103305335125 is an frugal number, since it uses more digits than its factorization.

103305335125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826442696 (or 826442686 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 31.

Adding to 103305335125 its reverse (521533503301), we get a palindrome (624838838426).

The spelling of 103305335125 in words is "one hundred three billion, three hundred five million, three hundred thirty-five thousand, one hundred twenty-five".

Divisors: 1 5 25 125 826442681 4132213405 20661067025 103305335125