Search a number
-
+
12202010220020 = 22517337106493369
BaseRepresentation
bin1011000110010000000001…
…1111000001010111110100
31121012111112001221112202012
42301210000133001113310
53044404204104020040
641541305350103352
72366365121365205
oct261440037012764
947174461845665
1012202010220020
113984930733065
1214509b864ab58
136a684c323b5a
1430281aa595ac
15162607ac5865
hexb19007c15f4

12202010220020 has 48 divisors (see below), whose sum is σ = 27212037849360. Its totient is φ = 4580066770944.

The previous prime is 12202010220019. The next prime is 12202010220053. The reversal of 12202010220020 is 2002201020221.

It can be written as a sum of positive squares in 8 ways, for example, as 1146145818724 + 11055864401296 = 1070582^2 + 3325036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12202010219977 and 12202010220004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 53132105 + ... + 53361264.

It is an arithmetic number, because the mean of its divisors is an integer number (566917455195).

Almost surely, 212202010220020 is an apocalyptic number.

12202010220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12202010220020 is an abundant number, since it is smaller than the sum of its proper divisors (15010027629340).

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

12202010220020 is a wasteful number, since it uses less digits than its factorization.

12202010220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106493732 (or 106493730 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12202010220020 its reverse (2002201020221), we get a palindrome (14204211240241).

The spelling of 12202010220020 in words is "twelve trillion, two hundred two billion, ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 337 340 674 1348 1685 3370 5729 6740 11458 22916 28645 57290 114580 106493369 212986738 425973476 532466845 1064933690 1810387273 2129867380 3620774546 7241549092 9051936365 18103872730 35888265353 36207745460 71776530706 143553061412 179441326765 358882653530 610100511001 717765307060 1220201022002 2440402044004 3050502555005 6101005110010 12202010220020