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13313041103400 = 2335273930024901
BaseRepresentation
bin1100000110111010111100…
…0101011111101000101000
31202010201021201120020202020
43001232233011133220220
53221110102010302100
644151532053504440
72542556366153463
oct301565705375050
952121251506666
1013313041103400
1142730356a5aa5
1215b01a6642120
1375755054a84c
143404d71522da
15181481bb65a0
hexc1baf15fa28

13313041103400 has 96 divisors (see below), whose sum is σ = 41326275112800. Its totient is φ = 3545340192000.

The previous prime is 13313041103377. The next prime is 13313041103431. The reversal of 13313041103400 is 430114031331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14569051 + ... + 15455850.

It is an arithmetic number, because the mean of its divisors is an integer number (430482032425).

Almost surely, 213313041103400 is an apocalyptic number.

13313041103400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313041103400 is an abundant number, since it is smaller than the sum of its proper divisors (28013234009400).

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

13313041103400 is a wasteful number, since it uses less digits than its factorization.

13313041103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30025659 (or 30025650 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13313041103400 its reverse (430114031331), we get a palindrome (13743155134731).

The spelling of 13313041103400 in words is "thirteen trillion, three hundred thirteen billion, forty-one million, one hundred three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 739 1478 2217 2956 3695 4434 5912 7390 8868 11085 14780 17736 18475 22170 29560 36950 44340 55425 73900 88680 110850 147800 221700 443400 30024901 60049802 90074703 120099604 150124505 180149406 240199208 300249010 360298812 450373515 600498020 720597624 750622525 900747030 1200996040 1501245050 1801494060 2251867575 3002490100 3602988120 4503735150 6004980200 9007470300 18014940600 22188401839 44376803678 66565205517 88753607356 110942009195 133130411034 177507214712 221884018390 266260822068 332826027585 443768036780 532521644136 554710045975 665652055170 887536073560 1109420091950 1331304110340 1664130137925 2218840183900 2662608220680 3328260275850 4437680367800 6656520551700 13313041103400