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13442400101 = 132283281063
BaseRepresentation
bin11001000010011101…
…01011111101100101
31021200211020200022102
430201032223331211
5210012223300401
610101513141445
7654054341564
oct144116537545
937624220272
1013442400101
115778980179
1227319ba885
131362c3a400
14917409bdb
1553a1dd56b
hex3213abf65

13442400101 has 12 divisors (see below), whose sum is σ = 14607458208. Its totient is φ = 12364479504.

The previous prime is 13442400047. The next prime is 13442400137. The reversal of 13442400101 is 10100424431.

It is a de Polignac number, because none of the positive numbers 2k-13442400101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13442430101) 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 11 ways as a sum of consecutive naturals, for example, 92705 + ... + 188358.

It is an arithmetic number, because the mean of its divisors is an integer number (1217288184).

Almost surely, 213442400101 is an apocalyptic number.

It is an amenable number.

13442400101 is a deficient number, since it is larger than the sum of its proper divisors (1165058107).

13442400101 is a wasteful number, since it uses less digits than its factorization.

13442400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281372 (or 281359 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 13442400101 its reverse (10100424431), we get a palindrome (23542824532).

The spelling of 13442400101 in words is "thirteen billion, four hundred forty-two million, four hundred thousand, one hundred one".

Divisors: 1 13 169 283 3679 47827 281063 3653819 47499647 79540829 1034030777 13442400101