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122261 = 1031187
BaseRepresentation
bin11101110110010101
320012201012
4131312111
512403021
62342005
71016306
oct356625
9205635
10122261
1183947
125a905
1343859
14327ad
152635b
hex1dd95

122261 has 4 divisors (see below), whose sum is σ = 123552. Its totient is φ = 120972.

The previous prime is 122251. The next prime is 122263. The reversal of 122261 is 162221.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122261 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 122261.

It is not an unprimeable number, because it can be changed into a prime (122263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 491 + ... + 696.

It is an arithmetic number, because the mean of its divisors is an integer number (30888).

2122261 is an apocalyptic number.

It is an amenable number.

122261 is a deficient number, since it is larger than the sum of its proper divisors (1291).

122261 is a wasteful number, since it uses less digits than its factorization.

122261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290.

The product of its digits is 48, while the sum is 14.

The square root of 122261 is about 349.6584047324. The cubic root of 122261 is about 49.6320996257.

Adding to 122261 its reverse (162221), we get a palindrome (284482).

It can be divided in two parts, 122 and 261, that added together give a palindrome (383).

The spelling of 122261 in words is "one hundred twenty-two thousand, two hundred sixty-one".

Divisors: 1 103 1187 122261