Search a number
-
+
12323101020 = 22355325115439
BaseRepresentation
bin10110111101000001…
…11001100101011100
31011210211002101121220
423132200321211130
5200214203213040
65354450453340
7614243426136
oct133640714534
934724071556
1012323101020
11525408420a
12247ab94250
131215090369
1484c8c6056
154c1ce42d0
hex2de83995c

12323101020 has 96 divisors (see below), whose sum is σ = 35298063360. Its totient is φ = 3211104000.

The previous prime is 12323100991. The next prime is 12323101079. The reversal of 12323101020 is 2010132321.

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 31 ways as a sum of consecutive naturals, for example, 790461 + ... + 805899.

It is an arithmetic number, because the mean of its divisors is an integer number (367688160).

Almost surely, 212323101020 is an apocalyptic number.

12323101020 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 12323101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17649031680).

12323101020 is an abundant number, since it is smaller than the sum of its proper divisors (22974962340).

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

12323101020 is a wasteful number, since it uses less digits than its factorization.

12323101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15755 (or 15753 counting only the distinct ones).

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

Adding to 12323101020 its reverse (2010132321), we get a palindrome (14333233341).

The spelling of 12323101020 in words is "twelve billion, three hundred twenty-three million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 251 265 318 502 530 636 753 795 1004 1060 1255 1506 1590 2510 3012 3180 3765 5020 7530 13303 15060 15439 26606 30878 39909 46317 53212 61756 66515 77195 79818 92634 133030 154390 159636 185268 199545 231585 266060 308780 399090 463170 798180 818267 926340 1636534 2454801 3273068 3875189 4091335 4909602 7750378 8182670 9819204 11625567 12274005 15500756 16365340 19375945 23251134 24548010 38751890 46502268 49096020 58127835 77503780 116255670 205385017 232511340 410770034 616155051 821540068 1026925085 1232310102 2053850170 2464620204 3080775255 4107700340 6161550510 12323101020