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102201 = 31119163
BaseRepresentation
bin11000111100111001
312012012020
4120330321
511232301
62105053
7603651
oct307471
9165166
10102201
116a870
124b189
1337698
1429361
1520436
hex18f39

102201 has 16 divisors (see below), whose sum is σ = 157440. Its totient is φ = 58320.

The previous prime is 102199. The next prime is 102203.

It can be divided in two parts, 102 and 201, that multiplied together give a palindrome (20502).

It is a happy number.

102201 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (102199) and next prime (102203).

It is not a de Polignac number, because 102201 - 21 = 102199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 546 + ... + 708.

It is an arithmetic number, because the mean of its divisors is an integer number (9840).

2102201 is an apocalyptic number.

102201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201 is a deficient number, since it is larger than the sum of its proper divisors (55239).

102201 is a wasteful number, since it uses less digits than its factorization.

102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102201 is about 319.6889112872. The cubic root of 102201 is about 46.7539579327.

The spelling of 102201 in words is "one hundred two thousand, two hundred one", and thus it is an iban number.

Divisors: 1 3 11 19 33 57 163 209 489 627 1793 3097 5379 9291 34067 102201