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13023041020 = 22511298532393
BaseRepresentation
bin11000010000011101…
…11101010111111100
31020121121011000210121
430020032331113330
5203132344303040
65552132544324
7640503010423
oct141016752774
936547130717
1013023041020
115583192520
1226354820a4
1312c70ab342
148b78462ba
155134a3c4a
hex3083bd5fc

13023041020 has 96 divisors (see below), whose sum is σ = 30912477120. Its totient is φ = 4565084160.

The previous prime is 13023041011. The next prime is 13023041021. The reversal of 13023041020 is 2014032031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13023040985 and 13023041003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023041021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5440944 + ... + 5443336.

It is an arithmetic number, because the mean of its divisors is an integer number (322004970).

Almost surely, 213023041020 is an apocalyptic number.

13023041020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13023041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456238560).

13023041020 is an abundant number, since it is smaller than the sum of its proper divisors (17889436100).

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

13023041020 is a wasteful number, since it uses less digits than its factorization.

13023041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3295 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13023041020 its reverse (2014032031), we get a palindrome (15037073051).

The spelling of 13023041020 in words is "thirteen billion, twenty-three million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 853 1276 1595 1706 2393 3190 3412 4265 4786 6380 8530 9383 9572 11965 17060 18766 23930 24737 26323 37532 46915 47860 49474 52646 69397 93830 98948 105292 123685 131615 138794 187660 247370 263230 272107 277588 346985 494740 526460 544214 693970 763367 1088428 1360535 1387940 1526734 2041229 2721070 3053468 3816835 4082458 5442140 7633670 8164916 10206145 15267340 20412290 22453519 40824580 44907038 59195641 89814076 112267595 118391282 224535190 236782564 295978205 449070380 591956410 651152051 1183912820 1302304102 2604608204 3255760255 6511520510 13023041020