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13345101 = 337311131
BaseRepresentation
bin110010111010…
…000101001101
3221010000001000
4302322011031
511404020401
61154010513
7221301000
oct62720515
927100030
1013345101
117595410
124576a39
1329c3313
141ab5537
151289186
hexcba14d

13345101 has 64 divisors (see below), whose sum is σ = 25344000. Its totient is φ = 6879600.

The previous prime is 13345081. The next prime is 13345109. The reversal of 13345101 is 10154331.

13345101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13345101 - 25 = 13345069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13345109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101806 + ... + 101936.

It is an arithmetic number, because the mean of its divisors is an integer number (396000).

Almost surely, 213345101 is an apocalyptic number.

13345101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13345101 is a deficient number, since it is larger than the sum of its proper divisors (11998899).

13345101 is a wasteful number, since it uses less digits than its factorization.

13345101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13345101 is about 3653.0947154433. The cubic root of 13345101 is about 237.1959603444.

Adding to 13345101 its reverse (10154331), we get a palindrome (23499432).

The spelling of 13345101 in words is "thirteen million, three hundred forty-five thousand, one hundred one".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 99 131 147 189 231 297 343 393 441 539 693 917 1029 1179 1323 1441 1617 2079 2751 3087 3537 3773 4323 4851 6419 8253 9261 10087 11319 12969 14553 19257 24759 30261 33957 38907 44933 57771 70609 90783 101871 134799 173313 211827 272349 404397 494263 635481 1213191 1482789 1906443 4448367 13345101