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13131212003 = 713232272777
BaseRepresentation
bin11000011101010111…
…00110010011100011
31020220010200200111022
430032223212103203
5203343042241003
610010555240055
7643255313630
oct141653462343
936803620438
1013131212003
115629254a28
12266574902b
131313623040
148c7d63187
1551cc1e738
hex30eae64e3

13131212003 has 24 divisors (see below), whose sum is σ = 16894778208. Its totient is φ = 9937775232.

The previous prime is 13131211993. The next prime is 13131212033. The reversal of 13131212003 is 30021213131.

It is not a de Polignac number, because 13131212003 - 210 = 13131210979 is a prime.

It is a super-3 number, since 3×131312120033 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13131212033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88250 + ... + 184527.

It is an arithmetic number, because the mean of its divisors is an integer number (703949092).

Almost surely, 213131212003 is an apocalyptic number.

13131212003 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13131212003 is a deficient number, since it is larger than the sum of its proper divisors (3763566205).

13131212003 is a wasteful number, since it uses less digits than its factorization.

13131212003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272843 (or 272820 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13131212003 its reverse (30021213131), we get a palindrome (43152425134).

The spelling of 13131212003 in words is "thirteen billion, one hundred thirty-one million, two hundred twelve thousand, three".

Divisors: 1 7 13 23 91 161 299 529 2093 3703 6877 48139 272777 1909439 3546101 6273871 24822707 43917097 81560323 144299033 570922261 1010093231 1875887429 13131212003