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13112003003301 = 335910776925351
BaseRepresentation
bin1011111011001110000001…
…0010000000001110100101
31201102111101000220121122000
42332303200102000032211
53204311340232101201
643515323201355513
72522211441412536
oct276634022001645
951374330817560
1013112003003301
1141a5850958934
12157923b338b99
137415c2141677
143348a524668d
1517b117536d86
hexbece04803a5

13112003003301 has 32 divisors (see below), whose sum is σ = 19939051238400. Its totient is φ = 8512866932400.

The previous prime is 13112003003291. The next prime is 13112003003339. The reversal of 13112003003301 is 10330030021131.

It is a happy number.

13112003003301 is a `hidden beast` number, since 1 + 3 + 11 + 20 + 0 + 300 + 330 + 1 = 666.

It is not a de Polignac number, because 13112003003301 - 25 = 13112003003269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112003003381) 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 31 ways as a sum of consecutive naturals, for example, 38292225 + ... + 38633126.

It is an arithmetic number, because the mean of its divisors is an integer number (623095351200).

Almost surely, 213112003003301 is an apocalyptic number.

It is an amenable number.

13112003003301 is a deficient number, since it is larger than the sum of its proper divisors (6827048235099).

13112003003301 is a wasteful number, since it uses less digits than its factorization.

13112003003301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76925526 (or 76925520 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13112003003301 its reverse (10330030021131), we get a palindrome (23442033024432).

The spelling of 13112003003301 in words is "thirteen trillion, one hundred twelve billion, three million, three thousand, three hundred one".

Divisors: 1 3 9 27 59 107 177 321 531 963 1593 2889 6313 18939 56817 170451 76925351 230776053 692328159 2076984477 4538595709 8231012557 13615787127 24693037671 40847361381 74079113013 122542084143 222237339039 485629740863 1456889222589 4370667667767 13112003003301