Search a number
-
+
2011220210020 = 2257347367112807
BaseRepresentation
bin11101010001000110000…
…100001111000101100100
321010021022101122120120011
4131101012010033011210
5230422434333210040
64135535233020004
7265206624500440
oct35210604170544
97107271576504
102011220210020
11705a5441572a
122859556b4604
13117870ca0bb8
146d4b4ac3820
15374b30693ea
hex1d44610f164

2011220210020 has 96 divisors (see below), whose sum is σ = 4854072287232. Its totient is φ = 685694429568.

The previous prime is 2011220210003. The next prime is 2011220210029. The reversal of 2011220210020 is 200120221102.

It is a happy number.

It is a super-3 number, since 3×20112202100203 (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2011220210029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17772457 + ... + 17885263.

It is an arithmetic number, because the mean of its divisors is an integer number (50563252992).

Almost surely, 22011220210020 is an apocalyptic number.

2011220210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011220210020 is an abundant number, since it is smaller than the sum of its proper divisors (2842852077212).

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

2011220210020 is a wasteful number, since it uses less digits than its factorization.

2011220210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113537 (or 113535 counting only the distinct ones).

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

Adding to 2011220210020 its reverse (200120221102), we get a palindrome (2211340431122).

The spelling of 2011220210020 in words is "two trillion, eleven billion, two hundred twenty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 347 367 694 734 1388 1468 1735 1835 2429 2569 3470 3670 4858 5138 6940 7340 9716 10276 12145 12845 24290 25690 48580 51380 112807 127349 225614 254698 451228 509396 564035 636745 789649 891443 1128070 1273490 1579298 1782886 2256140 2546980 3158596 3565772 3948245 4457215 7896490 8914430 15792980 17828860 39144029 41400169 78288058 82800338 156576116 165600676 195720145 207000845 274008203 289801183 391440290 414001690 548016406 579602366 782880580 828003380 1096032812 1159204732 1370041015 1449005915 2740082030 2898011830 5480164060 5796023660 14365858643 28731717286 57463434572 71829293215 100561010501 143658586430 201122021002 287317172860 402244042004 502805052505 1005610105010 2011220210020