Search a number
-
+
120003110020320 = 2535466353614943
BaseRepresentation
bin11011010010010001100110…
…101111101010010011100000
3120201220012000001211102210020
4123102101212233222103200
5111212112332131122240
61103120400115233440
734163636636004612
oct3322214657522340
9521805001742706
10120003110020320
113526704014a53a
12115614a68a8880
1351c6324852897
14218c278114db2
15dd18526cd0d0
hex6d2466bea4e0

120003110020320 has 96 divisors (see below), whose sum is σ = 378090869409792. Its totient is φ = 31993966029312.

The previous prime is 120003110020267. The next prime is 120003110020333. The reversal of 120003110020320 is 23020011300021.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 120003110020320.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 24569232 + ... + 29045711.

It is an arithmetic number, because the mean of its divisors is an integer number (3938446556352).

Almost surely, 2120003110020320 is an apocalyptic number.

120003110020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120003110020320 is an abundant number, since it is smaller than the sum of its proper divisors (258087759389472).

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

120003110020320 is a wasteful number, since it uses less digits than its factorization.

120003110020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53619624 (or 53619616 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 120003110020320 its reverse (23020011300021), we get a palindrome (143023121320341).

The spelling of 120003110020320 in words is "one hundred twenty trillion, three billion, one hundred ten million, twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4663 9326 13989 18652 23315 27978 37304 46630 55956 69945 74608 93260 111912 139890 149216 186520 223824 279780 373040 447648 559560 746080 1119120 2238240 53614943 107229886 160844829 214459772 268074715 321689658 428919544 536149430 643379316 804224145 857839088 1072298860 1286758632 1608448290 1715678176 2144597720 2573517264 3216896580 4289195440 5147034528 6433793160 8578390880 12867586320 25735172640 250006479209 500012958418 750019437627 1000025916836 1250032396045 1500038875254 2000051833672 2500064792090 3000077750508 3750097188135 4000103667344 5000129584180 6000155501016 7500194376270 8000207334688 10000259168360 12000311002032 15000388752540 20000518336720 24000622004064 30000777505080 40001036673440 60001555010160 120003110020320