Search a number
-
+
2330320230120 = 23351091327134257
BaseRepresentation
bin100001111010010001111…
…010001101011011101000
322020202222000122011020010
4201322101322031123220
5301134443434330440
64542311225531520
7330234336063651
oct41722172153350
98222860564203
102330320230120
11819313022803
1231776b643ba0
1313b995bb9c3c
1480b06798528
154093c46d580
hex21e91e8d6e8

2330320230120 has 128 divisors (see below), whose sum is σ = 7060467110400. Its totient is φ = 615249063936.

The previous prime is 2330320230101. The next prime is 2330320230131. The reversal of 2330320230120 is 210320230332.

2330320230120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17290032 + ... + 17424288.

It is an arithmetic number, because the mean of its divisors is an integer number (55159899300).

Almost surely, 22330320230120 is an apocalyptic number.

2330320230120 is a gapful number since it is divisible by the number (20) 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 2330320230120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530233555200).

2330320230120 is an abundant number, since it is smaller than the sum of its proper divisors (4730146880280).

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

2330320230120 is a wasteful number, since it uses less digits than its factorization.

2330320230120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135707 (or 135703 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 2330320230120 its reverse (210320230332), we get a palindrome (2540640460452).

The spelling of 2330320230120 in words is "two trillion, three hundred thirty billion, three hundred twenty million, two hundred thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1327 1635 2180 2616 2654 3270 3981 4360 5308 6540 6635 7962 10616 13080 13270 15924 19905 26540 31848 39810 53080 79620 134257 144643 159240 268514 289286 402771 433929 537028 578572 671285 723215 805542 867858 1074056 1157144 1342570 1446430 1611084 1735716 2013855 2169645 2685140 2892860 3222168 3471432 4027710 4339290 5370280 5785720 8055420 8678580 14634013 16110840 17357160 29268026 43902039 58536052 73170065 87804078 117072104 146340130 175608156 178159039 219510195 292680260 351216312 356318078 439020390 534477117 585360520 712636156 878040780 890795195 1068954234 1425272312 1756081560 1781590390 2137908468 2672385585 3563180780 4275816936 5344771170 7126361560 10689542340 19419335251 21379084680 38838670502 58258005753 77677341004 97096676255 116516011506 155354682008 194193352510 233032023012 291290028765 388386705020 466064046024 582580057530 776773410040 1165160115060 2330320230120