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13020412005 = 3251135414733
BaseRepresentation
bin11000010000001001…
…11011100001100101
31020121102012110110200
430020010323201211
5203131211141010
65552000341113
7640441450566
oct141004734145
936542173420
1013020412005
115581757287
122634614799
1312c669a803
148b736016d
15513134cc0
hex30813b865

13020412005 has 48 divisors (see below), whose sum is σ = 22815342576. Its totient is φ = 6868592640.

The previous prime is 13020411977. The next prime is 13020412037. The reversal of 13020412005 is 50021402031.

It can be written as a sum of positive squares in 8 ways, for example, as 4444355556 + 8576056449 = 66666^2 + 92607^2 .

It is not a de Polignac number, because 13020412005 - 25 = 13020411973 is a prime.

It is a super-2 number, since 2×130204120052 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2748619 + ... + 2753351.

It is an arithmetic number, because the mean of its divisors is an integer number (475319637).

Almost surely, 213020412005 is an apocalyptic number.

13020412005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13020412005 is a deficient number, since it is larger than the sum of its proper divisors (9794930571).

13020412005 is a wasteful number, since it uses less digits than its factorization.

13020412005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5398 (or 5395 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 13020412005 its reverse (50021402031), we get a palindrome (63041814036).

The spelling of 13020412005 in words is "thirteen billion, twenty million, four hundred twelve thousand, five".

Divisors: 1 3 5 9 15 45 113 339 541 565 1017 1623 1695 2705 4733 4869 5085 8115 14199 23665 24345 42597 61133 70995 183399 212985 305665 534829 550197 916995 1604487 2560553 2674145 2750985 4813461 7681659 8022435 12802765 23044977 24067305 38408295 115224885 289342489 868027467 1446712445 2604082401 4340137335 13020412005