Search a number
-
+
201001212122020 = 225172328390825017
BaseRepresentation
bin101101101100111100111101…
…110110010001001110100100
3222100200112021001212122212121
4231230330331312101032210
5202321200440300401040
61551254403155555324
760223600262040142
oct5554747566211644
9870615231778777
10201001212122020
1159055154174482
121a66346b2bbb44
13882044370458b
14378c721034592
151838781e37c4a
hexb6cf3dd913a4

201001212122020 has 96 divisors (see below), whose sum is σ = 468011871952128. Its totient is φ = 72125235105792.

The previous prime is 201001212121999. The next prime is 201001212122047. The reversal of 201001212122020 is 20221212100102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201001212121985 and 201001212122003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43199449 + ... + 47625568.

It is an arithmetic number, because the mean of its divisors is an integer number (4875123666168).

Almost surely, 2201001212122020 is an apocalyptic number.

201001212122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001212122020 is an abundant number, since it is smaller than the sum of its proper divisors (267010659830108).

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

201001212122020 is a wasteful number, since it uses less digits than its factorization.

201001212122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90825349 (or 90825347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 201001212122020 its reverse (20221212100102), we get a palindrome (221222424222122).

The spelling of 201001212122020 in words is "two hundred one trillion, one billion, two hundred twelve million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 283 340 391 460 566 782 1132 1415 1564 1955 2830 3910 4811 5660 6509 7820 9622 13018 19244 24055 26036 32545 48110 65090 96220 110653 130180 221306 442612 553265 1106530 2213060 90825017 181650034 363300068 454125085 908250170 1544025289 1816500340 2088975391 3088050578 4177950782 6176101156 7720126445 8355901564 10444876955 15440252890 20889753910 25703479811 30880505780 35512581647 41779507820 51406959622 71025163294 102813919244 128517399055 142050326588 177562908235 257034798110 355125816470 436959156787 514069596220 591180035653 710251632940 873918313574 1182360071306 1747836627148 2184795783935 2364720142612 2955900178265 4369591567870 5911800356530 8739183135740 10050060606101 11823600713060 20100121212202 40200242424404 50250303030505 100500606061010 201001212122020