Search a number
-
+
103320110313120 = 2535317679022807
BaseRepresentation
bin10111011111100000010110…
…011110010010111010100000
3111112211022021010121120212210
4113133200112132102322200
5102020244041220004440
61003424334201122120
730522426436153341
oct2737402636227240
9445738233546783
10103320110313120
112aa148a37a4038
12b708167a89340
134586076c940bc
141b72a11a4a0c8
15be28d6e7da80
hex5df816792ea0

103320110313120 has 96 divisors (see below), whose sum is σ = 326485030451328. Its totient is φ = 27465114457088.

The previous prime is 103320110312971. The next prime is 103320110313169. The reversal of 103320110313120 is 21313011023301.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339359244 + ... + 339663563.

It is an arithmetic number, because the mean of its divisors is an integer number (3400885733868).

Almost surely, 2103320110313120 is an apocalyptic number.

103320110313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103320110313120 is an abundant number, since it is smaller than the sum of its proper divisors (223164920138208).

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

103320110313120 is a wasteful number, since it uses less digits than its factorization.

103320110313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679023142 (or 679023134 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 103320110313120 its reverse (21313011023301), we get a palindrome (124633121336421).

The spelling of 103320110313120 in words is "one hundred three trillion, three hundred twenty billion, one hundred ten million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 317 480 634 951 1268 1585 1902 2536 3170 3804 4755 5072 6340 7608 9510 10144 12680 15216 19020 25360 30432 38040 50720 76080 152160 679022807 1358045614 2037068421 2716091228 3395114035 4074136842 5432182456 6790228070 8148273684 10185342105 10864364912 13580456140 16296547368 20370684210 21728729824 27160912280 32593094736 40741368420 54321824560 65186189472 81482736840 108643649120 162965473680 215250229819 325930947360 430500459638 645750689457 861000919276 1076251149095 1291501378914 1722001838552 2152502298190 2583002757828 3228753447285 3444003677104 4305004596380 5166005515656 6457506894570 6888007354208 8610009192760 10332011031312 12915013789140 17220018385520 20664022062624 25830027578280 34440036771040 51660055156560 103320110313120