Search a number
-
+
200122210020 = 2235101241113697
BaseRepresentation
bin1011101001100000110…
…1101001011011100100
3201010112212020121010110
42322120031221123210
511234322241210040
6231533533253020
720313133501305
oct2723015513344
9633485217113
10200122210020
1177964852417
1232950634170
1315b4373acb5
1499864147ac
155314064980
hex2e983696e4

200122210020 has 96 divisors (see below), whose sum is σ = 566166174336. Its totient is φ = 52811776000.

The previous prime is 200122210007. The next prime is 200122210031. The reversal of 200122210020 is 20012221002.

200122210020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 200122209978 and 200122210005.

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 31 ways as a sum of consecutive naturals, for example, 14603812 + ... + 14617508.

It is an arithmetic number, because the mean of its divisors is an integer number (5897564316).

Almost surely, 2200122210020 is an apocalyptic number.

200122210020 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 200122210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283083087168).

200122210020 is an abundant number, since it is smaller than the sum of its proper divisors (366043964316).

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

200122210020 is a wasteful number, since it uses less digits than its factorization.

200122210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16221 (or 16219 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 200122210020 its reverse (20012221002), we get a palindrome (220134431022).

The spelling of 200122210020 in words is "two hundred billion, one hundred twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 2411 3030 4822 6060 7233 9644 12055 13697 14466 24110 27394 28932 36165 41091 48220 54788 68485 72330 82182 136970 144660 164364 205455 243511 273940 410910 487022 730533 821820 974044 1217555 1383397 1461066 2435110 2766794 2922132 3652665 4150191 4870220 5533588 6916985 7305330 8300382 13833970 14610660 16600764 20750955 27667940 33023467 41501910 66046934 83003820 99070401 132093868 165117335 198140802 330234670 396281604 495352005 660469340 990704010 1981408020 3335370167 6670740334 10006110501 13341480668 16676850835 20012221002 33353701670 40024442004 50030552505 66707403340 100061105010 200122210020