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13023203214 = 2378931311131
BaseRepresentation
bin11000010000011111…
…00100111110001110
31020121121110021021210
430020033210332032
5203132420000324
65552140235250
7640504254330
oct141017447616
936547407253
1013023203214
11558329336a
12263553bb26
1312c7137108
148b7889450
155134d6d29
hex3083e4f8e

13023203214 has 64 divisors (see below), whose sum is σ = 30200670720. Its totient is φ = 3667023360.

The previous prime is 13023203203. The next prime is 13023203227. The reversal of 13023203214 is 41230232031.

13023203214 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×130232032143 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1164429 + ... + 1175559.

It is an arithmetic number, because the mean of its divisors is an integer number (471885480).

Almost surely, 213023203214 is an apocalyptic number.

13023203214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023203214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15100335360).

13023203214 is an abundant number, since it is smaller than the sum of its proper divisors (17177467506).

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

13023203214 is a wasteful number, since it uses less digits than its factorization.

13023203214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11545.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13023203214 its reverse (41230232031), we get a palindrome (54253435245).

The spelling of 13023203214 in words is "thirteen billion, twenty-three million, two hundred three thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 89 178 267 313 534 623 626 939 1246 1869 1878 2191 3738 4382 6573 11131 13146 22262 27857 33393 55714 66786 77917 83571 155834 167142 194999 233751 389998 467502 584997 990659 1169994 1981318 2971977 3484003 5943954 6934613 6968006 10452009 13869226 20803839 20904018 24388021 41607678 48776042 73164063 146328126 310076267 620152534 930228801 1860457602 2170533869 4341067738 6511601607 13023203214