Search a number
-
+
202220120000010 = 2357345834288043
BaseRepresentation
bin101101111110101100001010…
…011010110100011000001010
3222112000001110212002111100110
4231332230022122310120022
5203001133301210000020
61554030350214015150
760410631042045000
oct5576541232643012
9875001425074313
10202220120000010
1159485086966112
121a81b7450474b6
1388ab377343c68
1437d1712796a70
15185a321a628e0
hexb7eb0a6b460a

202220120000010 has 128 divisors (see below), whose sum is σ = 566104138444800. Its totient is φ = 46211645460288.

The previous prime is 202220120000009. The next prime is 202220120000011. The reversal of 202220120000010 is 10000021022202.

202220120000010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202220120000009) and next prime (202220120000011).

It is not an unprimeable number, because it can be changed into a prime (202220120000011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45015049 + ... + 49303091.

It is an arithmetic number, because the mean of its divisors is an integer number (4422688581600).

Almost surely, 2202220120000010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202220120000010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283052069222400).

202220120000010 is an abundant number, since it is smaller than the sum of its proper divisors (363884018444790).

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

202220120000010 is a wasteful number, since it uses less digits than its factorization.

202220120000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292657 (or 4292643 counting only the distinct ones).

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

Adding to 202220120000010 its reverse (10000021022202), we get a palindrome (212220141022212).

The spelling of 202220120000010 in words is "two hundred two trillion, two hundred twenty billion, one hundred twenty million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 343 490 686 735 1029 1470 1715 2058 3430 4583 5145 9166 10290 13749 22915 27498 32081 45830 64162 68745 96243 137490 160405 192486 224567 320810 449134 481215 673701 962430 1122835 1347402 1571969 2245670 3143938 3368505 4288043 4715907 6737010 7859845 8576086 9431814 12864129 15719690 21440215 23579535 25728258 30016301 42880430 47159070 60032602 64320645 90048903 128641290 150081505 180097806 210114107 300163010 420228214 450244515 630342321 900489030 1050570535 1260684642 1470798749 2101141070 2941597498 3151711605 4412396247 6303423210 7353993745 8824792494 14707987490 19652101069 22061981235 39304202138 44123962470 58956303207 98260505345 117912606414 137564707483 196521010690 275129414966 294781516035 412694122449 589563032070 687823537415 825388244898 962952952381 1375647074830 1925905904762 2063470612245 2888858857143 4126941224490 4814764761905 5777717714286 6740670666667 9629529523810 13481341333334 14444294285715 20222012000001 28888588571430 33703353333335 40444024000002 67406706666670 101110060000005 202220120000010