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13413313420 = 2251323297523
BaseRepresentation
bin11000111110111111…
…01110101110001100
31021121210111220212221
430133133232232030
5204432302012140
610054553505124
7653252166013
oct143737565614
937553456787
1013413313420
1157635139a1
1227241121a4
131359bc5060
149135d7a7a
1553789514a
hex31f7eeb8c

13413313420 has 72 divisors (see below), whose sum is σ = 31711293936. Its totient is φ = 4737228672.

The previous prime is 13413313411. The next prime is 13413313423. The reversal of 13413313420 is 2431331431.

It is not an unprimeable number, because it can be changed into a prime (13413313423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88779 + ... + 186301.

It is an arithmetic number, because the mean of its divisors is an integer number (440434638).

Almost surely, 213413313420 is an apocalyptic number.

13413313420 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 13413313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15855646968).

13413313420 is an abundant number, since it is smaller than the sum of its proper divisors (18297980516).

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

13413313420 is a wasteful number, since it uses less digits than its factorization.

13413313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97591 (or 97566 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 13413313420 its reverse (2431331431), we get a palindrome (15844644851).

The spelling of 13413313420 in words is "thirteen billion, four hundred thirteen million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 529 598 1058 1196 1495 2116 2645 2990 5290 5980 6877 10580 13754 27508 34385 68770 97523 137540 195046 390092 487615 975230 1267799 1950460 2243029 2535598 4486058 5071196 6338995 8972116 11215145 12677990 22430290 25355980 29159377 44860580 51589667 58318754 103179334 116637508 145796885 206358668 257948335 291593770 515896670 583187540 670665671 1031793340 1341331342 2682662684 3353328355 6706656710 13413313420