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13812201 = 341321009
BaseRepresentation
bin110100101100…
…000111101001
3221222201210000
4310230013221
512013442301
61212013213
7225254544
oct64540751
927881700
1013812201
117884347
124761209
132b27b00
141b9785b
15132c786
hexd2c1e9

13812201 has 30 divisors (see below), whose sum is σ = 22364430. Its totient is φ = 8491392.

The previous prime is 13812199. The next prime is 13812209. The reversal of 13812201 is 10221831.

13812201 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 can be written as a sum of positive squares in 3 ways, for example, as 129600 + 13682601 = 360^2 + 3699^2 .

It is not a de Polignac number, because 13812201 - 21 = 13812199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13812209) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13185 + ... + 14193.

It is an arithmetic number, because the mean of its divisors is an integer number (745481).

Almost surely, 213812201 is an apocalyptic number.

It is an amenable number.

13812201 is a deficient number, since it is larger than the sum of its proper divisors (8552229).

13812201 is a wasteful number, since it uses less digits than its factorization.

13812201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1025 counting only the distinct ones).

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

The square root of 13812201 is about 3716.4769607789. The cubic root of 13812201 is about 239.9316993144.

The spelling of 13812201 in words is "thirteen million, eight hundred twelve thousand, two hundred one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1009 1053 1521 3027 4563 9081 13117 13689 27243 39351 81729 118053 170521 354159 511563 1062477 1534689 4604067 13812201