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13416334101 = 333141390953
BaseRepresentation
bin11000111111010110…
…10000001100010101
31021122000012101111000
430133223100030111
5204434040142401
610055142333513
7653316646452
oct143753201425
937560171430
1013416334101
115765197425
12272512a299
13135a711c41
14913b82829
15537c90186
hex31fad0315

13416334101 has 32 divisors (see below), whose sum is σ = 21017687040. Its totient is φ = 8444563200.

The previous prime is 13416334037. The next prime is 13416334109. The reversal of 13416334101 is 10143361431.

13416334101 is a `hidden beast` number, since 13 + 4 + 1 + 633 + 4 + 10 + 1 = 666.

13416334101 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 13416334101 - 26 = 13416334037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13416334109) 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 31 ways as a sum of consecutive naturals, for example, 161160 + ... + 229793.

It is an arithmetic number, because the mean of its divisors is an integer number (656802720).

Almost surely, 213416334101 is an apocalyptic number.

It is an amenable number.

13416334101 is a deficient number, since it is larger than the sum of its proper divisors (7601352939).

13416334101 is a wasteful number, since it uses less digits than its factorization.

13416334101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391034 (or 391028 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13416334101 its reverse (10143361431), we get a palindrome (23559695532).

The spelling of 13416334101 in words is "thirteen billion, four hundred sixteen million, three hundred thirty-four thousand, one hundred one".

Divisors: 1 3 9 27 31 41 93 123 279 369 837 1107 1271 3813 11439 34317 390953 1172859 3518577 10555731 12119543 16029073 36358629 48087219 109075887 144261657 327227661 432784971 496901263 1490703789 4472111367 13416334101