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13210144101 = 3271119062257
BaseRepresentation
bin11000100110110001…
…01100110101100101
31021002122012211222100
430103120230311211
5204023244102401
610022455122313
7645234241440
oct142330546545
937078184870
1013210144101
115669866870
122688073399
131326a9b31b
148d462c657
15524b11b86
hex31362cd65

13210144101 has 24 divisors (see below), whose sum is σ = 23789697984. Its totient is φ = 6862412160.

The previous prime is 13210144097. The next prime is 13210144121. The reversal of 13210144101 is 10144101231.

13210144101 is a `hidden beast` number, since 13 + 210 + 1 + 441 + 0 + 1 = 666.

13210144101 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 13210144101 - 22 = 13210144097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210144121) 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 23 ways as a sum of consecutive naturals, for example, 9530436 + ... + 9531821.

It is an arithmetic number, because the mean of its divisors is an integer number (991237416).

Almost surely, 213210144101 is an apocalyptic number.

13210144101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13210144101 is a deficient number, since it is larger than the sum of its proper divisors (10579553883).

13210144101 is a wasteful number, since it uses less digits than its factorization.

13210144101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19062281 (or 19062278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13210144101 its reverse (10144101231), we get a palindrome (23354245332).

The spelling of 13210144101 in words is "thirteen billion, two hundred ten million, one hundred forty-four thousand, one hundred one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 19062257 57186771 133435799 171560313 209684827 400307397 629054481 1200922191 1467793789 1887163443 4403381367 13210144101