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101023 = 1319409
BaseRepresentation
bin11000101010011111
312010120121
4120222133
511213043
62055411
7600346
oct305237
9163517
10101023
116999a
124a567
1336ca0
1428b5d
151eded
hex18a9f

101023 has 8 divisors (see below), whose sum is σ = 114800. Its totient is φ = 88128.

The previous prime is 101021. The next prime is 101027. The reversal of 101023 is 320101.

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 101023 - 21 = 101021 is a prime.

It is a Duffinian number.

It is a plaindrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 100997 and 101015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43 + ... + 451.

It is an arithmetic number, because the mean of its divisors is an integer number (14350).

2101023 is an apocalyptic number.

101023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

101023 is a deficient number, since it is larger than the sum of its proper divisors (13777).

101023 is a wasteful number, since it uses less digits than its factorization.

101023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441.

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 101023 is about 317.8411552962. The cubic root of 101023 is about 46.5736298335.

Adding to 101023 its reverse (320101), we get a palindrome (421124).

The spelling of 101023 in words is "one hundred one thousand, twenty-three", and thus it is an iban number.

Divisors: 1 13 19 247 409 5317 7771 101023