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13201071 = 3133161179
BaseRepresentation
bin110010010110…
…111010101111
3220211200110120
4302112322233
511334413241
61150540023
7220131042
oct62267257
926750416
1013201071
1174a7184
124507613
1329728b0
141a78c59
15125b666
hexc96eaf

13201071 has 32 divisors (see below), whose sum is σ = 19998720. Its totient is φ = 7689600.

The previous prime is 13201051. The next prime is 13201087. The reversal of 13201071 is 17010231.

13201071 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13201071 - 25 = 13201039 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13201071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13201051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73660 + ... + 73838.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 213201071 is an apocalyptic number.

13201071 is a deficient number, since it is larger than the sum of its proper divisors (6797649).

13201071 is a wasteful number, since it uses less digits than its factorization.

13201071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 13201071 is about 3633.3278134515. The cubic root of 13201071 is about 236.3395416581.

The spelling of 13201071 in words is "thirteen million, two hundred one thousand, seventy-one".

Divisors: 1 3 13 31 39 61 93 179 183 403 537 793 1209 1891 2327 2379 5549 5673 6981 10919 16647 24583 32757 72137 73749 141947 216411 338489 425841 1015467 4400357 13201071