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103203000121 = 13176112296229
BaseRepresentation
bin110000000011101100…
…0001100111100111001
3100212101101122121101211
41200013120030330321
53142324432000441
6115224422243121
710312316012164
oct1400730147471
9325341577354
10103203000121
113a84a448541
12180025864a1
13996928b9a0
144dd05caadb
152a4052ba81
hex180760cf39

103203000121 has 32 divisors (see below), whose sum is σ = 119725149600. Its totient is φ = 88104775680.

The previous prime is 103203000113. The next prime is 103203000133. The reversal of 103203000121 is 121000302301.

It can be written as a sum of positive squares in 16 ways, for example, as 15941840121 + 87261160000 = 126261^2 + 295400^2 .

It is a cyclic number.

It is not a de Polignac number, because 103203000121 - 23 = 103203000113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103203000151) 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 31 ways as a sum of consecutive naturals, for example, 16565035 + ... + 16571263.

It is an arithmetic number, because the mean of its divisors is an integer number (3741410925).

Almost surely, 2103203000121 is an apocalyptic number.

It is an amenable number.

103203000121 is a deficient number, since it is larger than the sum of its proper divisors (16522149479).

103203000121 is a wasteful number, since it uses less digits than its factorization.

103203000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7549.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103203000121 its reverse (121000302301), we get a palindrome (224203302422).

The spelling of 103203000121 in words is "one hundred three billion, two hundred three million, one hundred twenty-one", and thus it is an aban number.

Divisors: 1 13 17 61 221 793 1037 1229 6229 13481 15977 20893 74969 80977 105893 271609 379969 974597 1274473 1376609 4939597 6459473 7655441 16568149 83973149 99520733 130142497 466981901 1691852461 6070764713 7938692317 103203000121