Search a number
-
+
13000221997 = 721772721467
BaseRepresentation
bin11000001101101111…
…11010010100101101
31020120000012200222121
430012313322110231
5203111024100442
65545555512541
7640105030600
oct140667722455
936500180877
1013000221997
115571317224
1226298b8751
1312c244ba69
148b47c6337
15511497967
hex306dfa52d

13000221997 has 24 divisors (see below), whose sum is σ = 16035050304. Its totient is φ = 10472660352.

The previous prime is 13000221991. The next prime is 13000222021. The reversal of 13000221997 is 79912200031.

It is a happy number.

It is not a de Polignac number, because 13000221997 - 27 = 13000221869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13000221991) 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 23 ways as a sum of consecutive naturals, for example, 594858 + ... + 616324.

It is an arithmetic number, because the mean of its divisors is an integer number (668127096).

Almost surely, 213000221997 is an apocalyptic number.

13000221997 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

13000221997 is a deficient number, since it is larger than the sum of its proper divisors (3034828307).

13000221997 is a wasteful number, since it uses less digits than its factorization.

13000221997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22225 (or 22218 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 34.

The spelling of 13000221997 in words is "thirteen billion, two hundred twenty-one thousand, nine hundred ninety-seven".

Divisors: 1 7 17 49 119 727 833 5089 12359 21467 35623 86513 150269 364939 605591 1051883 2554573 15606509 17882011 109245563 265310653 764718941 1857174571 13000221997