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13434412101 = 3112357172721
BaseRepresentation
bin11001000001100000…
…01101110001000101
31021200021012211211120
430200300031301011
5210003202141401
610101030024153
7653626422135
oct144060156105
937607184746
1013434412101
115774414720
12272b1a8059
1313613a1596
1491632aac5
15539661836
hex320c0dc45

13434412101 has 16 divisors (see below), whose sum is σ = 19549366848. Its totient is φ = 8138566400.

The previous prime is 13434412097. The next prime is 13434412141. The reversal of 13434412101 is 10121443431.

It is a cyclic number.

It is not a de Polignac number, because 13434412101 - 22 = 13434412097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434412141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8580 + ... + 164141.

It is an arithmetic number, because the mean of its divisors is an integer number (1221835428).

Almost surely, 213434412101 is an apocalyptic number.

13434412101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13434412101 is a deficient number, since it is larger than the sum of its proper divisors (6114954747).

13434412101 is a wasteful number, since it uses less digits than its factorization.

13434412101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175092.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13434412101 its reverse (10121443431), we get a palindrome (23555855532).

The spelling of 13434412101 in words is "thirteen billion, four hundred thirty-four million, four hundred twelve thousand, one hundred one".

Divisors: 1 3 11 33 2357 7071 25927 77781 172721 518163 1899931 5699793 407103397 1221310191 4478137367 13434412101