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10313340000 = 25354171889
BaseRepresentation
bin10011001101011100…
…10001010001100000
3222121202100221210120
421212232101101200
5132110203340000
64423214400240
7513400641435
oct114656212140
928552327716
1010313340000
11441267aa97
121bb9b00080
13c848a9162
146dba09b8c
154056546a0
hex266b91460

10313340000 has 120 divisors (see below), whose sum is σ = 33830014680. Its totient is φ = 2750208000.

The previous prime is 10313339989. The next prime is 10313340017. The reversal of 10313340000 is 4331301.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25945 + ... + 145944.

It is an arithmetic number, because the mean of its divisors is an integer number (281916789).

Almost surely, 210313340000 is an apocalyptic number.

10313340000 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 10313340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16915007340).

10313340000 is an abundant number, since it is smaller than the sum of its proper divisors (23516674680).

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

10313340000 is an equidigital number, since it uses as much as digits as its factorization.

10313340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171922 (or 171899 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10313340000 its reverse (4331301), we get a palindrome (10317671301).

The spelling of 10313340000 in words is "ten billion, three hundred thirteen million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 171889 343778 515667 687556 859445 1031334 1375112 1718890 2062668 2578335 2750224 3437780 4125336 4297225 5156670 5500448 6875560 8250672 8594450 10313340 12891675 13751120 16501344 17188900 20626680 21486125 25783350 27502240 34377800 41253360 42972250 51566700 64458375 68755600 82506720 85944500 103133400 107430625 128916750 137511200 171889000 206266800 214861250 257833500 322291875 343778000 412533600 429722500 515667000 644583750 687556000 859445000 1031334000 1289167500 1718890000 2062668000 2578335000 3437780000 5156670000 10313340000