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13010023 = 1347107199
BaseRepresentation
bin110001101000…
…010001100111
3220110222101201
4301220101213
511312310043
61142503331
7215404045
oct61502147
926428351
1013010023
117386694
124434b47
132906950
141a29395
15121ec4d
hexc68467

13010023 has 16 divisors (see below), whose sum is σ = 14515200. Its totient is φ = 11585376.

The previous prime is 13009967. The next prime is 13010047. The reversal of 13010023 is 32001031.

It is a cyclic number.

It is not a de Polignac number, because 13010023 - 29 = 13009511 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13009991 and 13010009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010623) 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 15 ways as a sum of consecutive naturals, for example, 65278 + ... + 65476.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 213010023 is an apocalyptic number.

13010023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

13010023 is a deficient number, since it is larger than the sum of its proper divisors (1505177).

13010023 is a wasteful number, since it uses less digits than its factorization.

13010023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 13010023 is about 3606.9409476730. The cubic root of 13010023 is about 235.1938825499.

Adding to 13010023 its reverse (32001031), we get a palindrome (45011054).

It can be divided in two parts, 130 and 10023, that added together give a triangular number (10153 = T142).

The spelling of 13010023 in words is "thirteen million, ten thousand, twenty-three".

Divisors: 1 13 47 107 199 611 1391 2587 5029 9353 21293 65377 121589 276809 1000771 13010023