Search a number
-
+
123320202000 = 24353109188563
BaseRepresentation
bin111001011011001110…
…1001111001100010000
3102210022101201100101220
41302312131033030100
54010024432431000
6132352535525040
711623663264422
oct1626635171420
9383271640356
10123320202000
1148333048016
121ba97829780
13b824020a38
145d7c2a0812
15331b6e91a0
hex1cb674f310

123320202000 has 160 divisors (see below), whose sum is σ = 401234021760. Its totient is φ = 32583513600.

The previous prime is 123320201971. The next prime is 123320202007. The reversal of 123320202000 is 202023321.

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

It is not an unprimeable number, because it can be changed into a prime (123320202007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 559719 + ... + 748281.

It is an arithmetic number, because the mean of its divisors is an integer number (2507712636).

Almost surely, 2123320202000 is an apocalyptic number.

123320202000 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 123320202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200617010880).

123320202000 is an abundant number, since it is smaller than the sum of its proper divisors (277913819760).

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

123320202000 is a wasteful number, since it uses less digits than its factorization.

123320202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188698 (or 188682 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 123320202000 its reverse (202023321), we get a palindrome (123522225321).

The spelling of 123320202000 in words is "one hundred twenty-three billion, three hundred twenty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 109 120 125 150 200 218 240 250 300 327 375 400 436 500 545 600 654 750 872 1000 1090 1200 1308 1500 1635 1744 2000 2180 2616 2725 3000 3270 4360 5232 5450 6000 6540 8175 8720 10900 13080 13625 16350 21800 26160 27250 32700 40875 43600 54500 65400 81750 109000 130800 163500 188563 218000 327000 377126 565689 654000 754252 942815 1131378 1508504 1885630 2262756 2828445 3017008 3771260 4525512 4714075 5656890 7542520 9051024 9428150 11313780 14142225 15085040 18856300 20553367 22627560 23570375 28284450 37712600 41106734 45255120 47140750 56568900 61660101 70711125 75425200 82213468 94281500 102766835 113137800 123320202 141422250 164426936 188563000 205533670 226275600 246640404 282844500 308300505 328853872 377126000 411067340 493280808 513834175 565689000 616601010 822134680 986561616 1027668350 1131378000 1233202020 1541502525 1644269360 2055336700 2466404040 2569170875 3083005050 4110673400 4932808080 5138341750 6166010100 7707512625 8221346800 10276683500 12332020200 15415025250 20553367000 24664040400 30830050500 41106734000 61660101000 123320202000