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13362201 = 3253109257
BaseRepresentation
bin110010111110…
…010000011001
3221010212111100
4302332100121
511410042301
61154222013
7221401566
oct62762031
927125440
1013362201
1175a7246
124584909
1329cb038
141abb86d
15128e286
hexcbe419

13362201 has 24 divisors (see below), whose sum is σ = 19922760. Its totient is φ = 8626176.

The previous prime is 13362191. The next prime is 13362211. The reversal of 13362201 is 10226331.

13362201 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 an interprime number because it is at equal distance from previous prime (13362191) and next prime (13362211).

It can be written as a sum of positive squares in 4 ways, for example, as 8696601 + 4665600 = 2949^2 + 2160^2 .

It is not a de Polignac number, because 13362201 - 218 = 13100057 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13362211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51865 + ... + 52121.

It is an arithmetic number, because the mean of its divisors is an integer number (830115).

Almost surely, 213362201 is an apocalyptic number.

It is an amenable number.

13362201 is a deficient number, since it is larger than the sum of its proper divisors (6560559).

13362201 is a wasteful number, since it uses less digits than its factorization.

13362201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13362201 is about 3655.4344475042. The cubic root of 13362201 is about 237.2972289603.

Adding to 13362201 its reverse (10226331), we get a palindrome (23588532).

The spelling of 13362201 in words is "thirteen million, three hundred sixty-two thousand, two hundred one".

Divisors: 1 3 9 53 109 159 257 327 477 771 981 2313 5777 13621 17331 28013 40863 51993 84039 122589 252117 1484689 4454067 13362201