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10122 = 237241
BaseRepresentation
bin10011110001010
3111212220
42132022
5310442
6114510
741340
oct23612
914786
1010122
117672
125a36
1347b8
143990
152eec
hex278a

10122 has 16 divisors (see below), whose sum is σ = 23232. Its totient is φ = 2880.

The previous prime is 10111. The next prime is 10133. The reversal of 10122 is 22101.

Adding to 10122 its reverse (22101), we get a palindrome (32223).

It can be divided in two parts, 101 and 22, that multiplied together give a palindrome (2222).

It is a happy number.

10122 is digitally balanced in base 2, because in such base 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 (10111) and next prime (10133).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a plaindrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 10122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79 + ... + 162.

It is an arithmetic number, because the mean of its divisors is an integer number (1452).

10122 is an abundant number, since it is smaller than the sum of its proper divisors (13110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11616).

10122 is a wasteful number, since it uses less digits than its factorization.

10122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253.

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

The square root of 10122 is about 100.6081507632. The cubic root of 10122 is about 21.6316066775.

The spelling of 10122 in words is "ten thousand, one hundred twenty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 14 21 42 241 482 723 1446 1687 3374 5061 10122