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123231202020 = 22325864179229
BaseRepresentation
bin111001011000100100…
…1101110101011100100
3102210002012020200101100
41302301021232223210
54004334141431040
6132340040200100
711621532635313
oct1626111565344
9383065220340
10123231202020
114829788a013
121ba71a69030
13b80b75c024
145d7053427a
1533139b8b30
hex1cb126eae4

123231202020 has 72 divisors (see below), whose sum is σ = 373849290360. Its totient is φ = 32857436160.

The previous prime is 123231202013. The next prime is 123231202021. The reversal of 123231202020 is 20202132321.

It can be written as a sum of positive squares in 4 ways, for example, as 6238472256 + 116992729764 = 78984^2 + 342042^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123231201984 and 123231202002.

It is not an unprimeable number, because it can be changed into a prime (123231202021) 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 23 ways as a sum of consecutive naturals, for example, 1515766 + ... + 1594994.

It is an arithmetic number, because the mean of its divisors is an integer number (5192351255).

Almost surely, 2123231202020 is an apocalyptic number.

123231202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123231202020 is an abundant number, since it is smaller than the sum of its proper divisors (250618088340).

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

123231202020 is a wasteful number, since it uses less digits than its factorization.

123231202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87885 (or 87880 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 123231202020 its reverse (20202132321), we get a palindrome (143433334341).

The spelling of 123231202020 in words is "one hundred twenty-three billion, two hundred thirty-one million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8641 17282 25923 34564 43205 51846 77769 79229 86410 103692 129615 155538 158458 172820 237687 259230 311076 316916 388845 396145 475374 518460 713061 777690 792290 950748 1188435 1426122 1555380 1584580 2376870 2852244 3565305 4753740 7130610 14261220 684617789 1369235578 2053853367 2738471156 3423088945 4107706734 6161560101 6846177890 8215413468 10269266835 12323120202 13692355780 20538533670 24646240404 30807800505 41077067340 61615601010 123231202020