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13003203302103 = 3715123940142787
BaseRepresentation
bin1011110100111000101101…
…0100000101001011010111
31201001002112121002010200010
42331032023110011023113
53201021030021131403
643353331130251303
72511310333253520
oct275161324051327
951032477063603
1013003203302103
11416369a2a9003
121560136586b33
13734273511c51
1432d50362d847
1517839a9d8603
hexbd38b5052d7

13003203302103 has 64 divisors (see below), whose sum is σ = 20079497871360. Its totient is φ = 7331808960000.

The previous prime is 13003203302101. The next prime is 13003203302123. The reversal of 13003203302103 is 30120330230031.

It is not a de Polignac number, because 13003203302103 - 21 = 13003203302101 is a prime.

It is a super-2 number, since 2×130032033021032 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13003203302103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13003203302101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 303884076 + ... + 303926862.

It is an arithmetic number, because the mean of its divisors is an integer number (313742154240).

Almost surely, 213003203302103 is an apocalyptic number.

13003203302103 is a deficient number, since it is larger than the sum of its proper divisors (7076294569257).

13003203302103 is a wasteful number, since it uses less digits than its factorization.

13003203302103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43588.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13003203302103 its reverse (30120330230031), we get a palindrome (43123533532134).

The spelling of 13003203302103 in words is "thirteen trillion, three billion, two hundred three million, three hundred two thousand, one hundred three".

Divisors: 1 3 7 21 151 239 401 453 717 1057 1203 1673 2807 3171 5019 8421 36089 42787 60551 95839 108267 128361 181653 252623 287517 299509 423857 670873 757869 898527 1271571 2012619 6460837 10226093 14471689 17157587 19382511 30678279 43415067 45225859 51472761 71582651 101301823 120103109 135677577 214747953 303905469 360309327 1544140043 2590795637 4100663293 4632420129 7772386911 10808980301 12301989879 18135569459 28704643051 32426940903 54406708377 86113929153 619200157243 1857600471729 4334401100701 13003203302103