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101123 = 1129317
BaseRepresentation
bin11000101100000011
312010201022
4120230003
511213443
62100055
7600551
oct305403
9163638
10101123
1169a80
124a62b
1337049
1428bd1
151ee68
hex18b03

101123 has 8 divisors (see below), whose sum is σ = 114480. Its totient is φ = 88480.

The previous prime is 101119. The next prime is 101141. The reversal of 101123 is 321101.

101123 = 572 + 582 + ... + 782.

It is a Cunningham number, because it is equal to 3182-1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101123 - 22 = 101119 is a prime.

It is a super-2 number, since 2×1011232 = 20451722258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101123.

It is not an unprimeable number, because it can be changed into a prime (101113) by changing a digit.

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, 161 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (14310).

2101123 is an apocalyptic number.

101123 is a deficient number, since it is larger than the sum of its proper divisors (13357).

101123 is a wasteful number, since it uses less digits than its factorization.

101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101123 is about 317.9984276691. The cubic root of 101123 is about 46.5889921011.

Adding to 101123 its reverse (321101), we get a palindrome (422224).

The spelling of 101123 in words is "one hundred one thousand, one hundred twenty-three", and thus it is an iban number.

Divisors: 1 11 29 317 319 3487 9193 101123