Search a number
-
+
2201020121020 = 2257259321711833
BaseRepresentation
bin100000000001110111000…
…001011011111110111100
321210102012212200001102111
4200001313001123332330
5242030142122333040
64403045031503404
7315006221224600
oct40016701337674
97712185601374
102201020121020
117794a1529006
122b66a5227b64
1312c72b016c46
147875c239500
153c3c0ca9dea
hex2007705bfbc

2201020121020 has 144 divisors (see below), whose sum is σ = 5470071475680. Its totient is φ = 741551763456.

The previous prime is 2201020120993. The next prime is 2201020121021. The reversal of 2201020121020 is 201210201022.

It is a happy number.

2201020121020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201020121021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186001024 + ... + 186012856.

It is an arithmetic number, because the mean of its divisors is an integer number (37986607470).

Almost surely, 22201020121020 is an apocalyptic number.

2201020121020 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 2201020121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735035737840).

2201020121020 is an abundant number, since it is smaller than the sum of its proper divisors (3269051354660).

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

2201020121020 is a wasteful number, since it uses less digits than its factorization.

2201020121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15132 (or 15123 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2201020121020 its reverse (201210201022), we get a palindrome (2402230322042).

The spelling of 2201020121020 in words is "two trillion, two hundred one billion, twenty million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 59 70 98 118 140 196 236 245 295 413 490 590 826 980 1180 1652 2065 2891 3217 4130 5782 6434 8260 11564 11833 12868 14455 16085 22519 23666 28910 32170 45038 47332 57820 59165 64340 82831 90076 112595 118330 157633 165662 189803 225190 236660 315266 331324 379606 414155 450380 579817 630532 698147 759212 788165 828310 949015 1159634 1328621 1396294 1576330 1656620 1898030 2319268 2657242 2792588 2899085 3152660 3490735 3796060 4887029 5314484 5798170 6643105 6981470 9300347 9774058 11596340 13286210 13962940 18600694 19548116 24435145 26572420 34209203 37201388 38066761 46501735 48870290 68418406 76133522 93003470 97740580 136836812 152267044 171046015 186006940 190333805 266467327 342092030 380667610 532934654 684184060 761335220 1065869308 1332336635 1865271289 2245938899 2664673270 3730542578 4491877798 5329346540 7461085156 8983755596 9326356445 11229694495 15721572293 18652712890 22459388990 31443144586 37305425780 44918777980 62886289172 78607861465 110051006051 157215722930 220102012102 314431445860 440204024204 550255030255 1100510060510 2201020121020