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1003230202013 = 13292661088069
BaseRepresentation
bin11101001100101010010…
…11100000100010011101
310112220111211121200121122
432212111023200202131
5112414103412431023
62044513320540325
7132323660005424
oct16462513404235
93486454550548
101003230202013
11357516327536
121425239216a5
13737b1580290
14367b14542bb
151b16a12d2c8
hexe9952e089d

1003230202013 has 8 divisors (see below), whose sum is σ = 1117656989400. Its totient is φ = 894125590848.

The previous prime is 1003230201989. The next prime is 1003230202063. The reversal of 1003230202013 is 3102020323001.

It can be written as a sum of positive squares in 4 ways, for example, as 134059964164 + 869170237849 = 366142^2 + 932293^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1003230202013 - 210 = 1003230200989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1003230201982 and 1003230202000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1003230202063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1330543658 + ... + 1330544411.

It is an arithmetic number, because the mean of its divisors is an integer number (139707123675).

Almost surely, 21003230202013 is an apocalyptic number.

1003230202013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1003230202013 is a deficient number, since it is larger than the sum of its proper divisors (114426787387).

1003230202013 is a wasteful number, since it uses less digits than its factorization.

1003230202013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661088111.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1003230202013 its reverse (3102020323001), we get a palindrome (4105250525014).

The spelling of 1003230202013 in words is "one trillion, three billion, two hundred thirty million, two hundred two thousand, thirteen".

Divisors: 1 13 29 377 2661088069 34594144897 77171554001 1003230202013