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13322300127 = 3311271127957
BaseRepresentation
bin11000110100001001…
…00010101011011111
31021101110020222010020
430122010202223133
5204241002101002
610041543043223
7651065453103
oct143204425337
937343228106
1013322300127
1157171002a4
1226b9740513
1313440a9b36
149054a5903
1552e8b82bc
hex31a122adf

13322300127 has 16 divisors (see below), whose sum is σ = 18480463872. Its totient is φ = 8527347360.

The previous prime is 13322300113. The next prime is 13322300137. The reversal of 13322300127 is 72100322331.

13322300127 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13322300127 - 26 = 13322300063 is a prime.

It is a super-2 number, since 2×133223001272 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13322300097 and 13322300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322300137) 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 15 ways as a sum of consecutive naturals, for example, 552168 + ... + 575789.

It is an arithmetic number, because the mean of its divisors is an integer number (1155028992).

Almost surely, 213322300127 is an apocalyptic number.

13322300127 is a deficient number, since it is larger than the sum of its proper divisors (5158163745).

13322300127 is a wasteful number, since it uses less digits than its factorization.

13322300127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128118.

The product of its (nonzero) digits is 1512, while the sum is 24.

Adding to 13322300127 its reverse (72100322331), we get a palindrome (85422622458).

The spelling of 13322300127 in words is "thirteen billion, three hundred twenty-two million, three hundred thousand, one hundred twenty-seven".

Divisors: 1 3 31 93 127 381 3937 11811 1127957 3383871 34966667 104900001 143250539 429751617 4440766709 13322300127