Search a number
-
+
13413033400 = 23521318892731
BaseRepresentation
bin11000111110111101…
…01010010110111000
31021121202222200202211
430133132222112320
5204432214032100
610054543504504
7653246621434
oct143736522670
937552880684
1013413033400
115763342578
122723bb8134
131359b27770
149135639c4
1553783c1ba
hex31f7aa5b8

13413033400 has 96 divisors (see below), whose sum is σ = 33614254800. Its totient is φ = 4948070400.

The previous prime is 13413033343. The next prime is 13413033409. The reversal of 13413033400 is 433031431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13413033409) 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, 4910035 + ... + 4912765.

Almost surely, 213413033400 is an apocalyptic number.

13413033400 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 13413033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16807127400).

13413033400 is an abundant number, since it is smaller than the sum of its proper divisors (20201221400).

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

13413033400 is a wasteful number, since it uses less digits than its factorization.

13413033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4649 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13413033400 its reverse (433031431), we get a palindrome (13846064831).

The spelling of 13413033400 in words is "thirteen billion, four hundred thirteen million, thirty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 1889 2600 2731 3778 5462 7556 9445 10924 13655 15112 18890 21848 24557 27310 35503 37780 47225 49114 54620 68275 71006 75560 94450 98228 109240 122785 136550 142012 177515 188900 196456 245570 273100 284024 355030 377800 491140 546200 613925 710060 887575 982280 1227850 1420120 1775150 2455700 3550300 4911400 5158859 7100600 10317718 20635436 25794295 41270872 51588590 67065167 103177180 128971475 134130334 206354360 257942950 268260668 335325835 515885900 536521336 670651670 1031771800 1341303340 1676629175 2682606680 3353258350 6706516700 13413033400