Search a number
-
+
2211101100201 = 372101677219979
BaseRepresentation
bin100000001011001111111…
…001010100100010101001
321211101020102210212002210
4200023033321110202221
5242211313340201301
64411433230115333
7315514101151500
oct40131771244251
97741212725083
102211101100201
117827a4a22964
122b863934bb49
13130676718396
147903703b837
153c7b0d11ad6
hex202cfe548a9

2211101100201 has 48 divisors (see below), whose sum is σ = 3468549608640. Its totient is φ = 1249123075200.

The previous prime is 2211101100179. The next prime is 2211101100203. The reversal of 2211101100201 is 1020011011122.

It is not a de Polignac number, because 2211101100201 - 29 = 2211101099689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2211101100203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9941430 + ... + 10161408.

It is an arithmetic number, because the mean of its divisors is an integer number (72261450180).

Almost surely, 22211101100201 is an apocalyptic number.

2211101100201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2211101100201 is a deficient number, since it is larger than the sum of its proper divisors (1257448508439).

2211101100201 is a wasteful number, since it uses less digits than its factorization.

2211101100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220774 (or 220767 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2211101100201 its reverse (1020011011122), we get a palindrome (3231112111323).

The spelling of 2211101100201 in words is "two trillion, two hundred eleven billion, one hundred one million, one hundred thousand, two hundred one".

Divisors: 1 3 7 21 49 101 147 303 677 707 2031 2121 4739 4949 14217 14847 33173 68377 99519 205131 219979 478639 659937 1435917 1539853 3350473 4619559 10051419 10778971 22217879 32336913 66653637 148925783 155525153 446777349 466575459 1042480481 1088676071 3127441443 3266028213 7297363367 15041504083 21892090101 45124512249 105290528581 315871585743 737033700067 2211101100201