Search a number
-
+
1102220220101 = 711133146376717
BaseRepresentation
bin10000000010100001011…
…100011101011011000101
310220101000121210122010212
4100002201130131123011
5121024321334020401
62202204124325205
7142430021200310
oct20024134353305
93811017718125
101102220220101
113954a3641240
1215974b3a3805
137cc28a69290
143b4c22c9977
151da10863dbb
hex100a171d6c5

1102220220101 has 64 divisors (see below), whose sum is σ = 1530962313216. Its totient is φ = 765564307200.

The previous prime is 1102220220083. The next prime is 1102220220103. The reversal of 1102220220101 is 1010220222011.

It is not a de Polignac number, because 1102220220101 - 210 = 1102220219077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102220220103) 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 63 ways as a sum of consecutive naturals, for example, 14328995 + ... + 14405711.

It is an arithmetic number, because the mean of its divisors is an integer number (23921286144).

Almost surely, 21102220220101 is an apocalyptic number.

1102220220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102220220101 is a deficient number, since it is larger than the sum of its proper divisors (428742093115).

1102220220101 is a wasteful number, since it uses less digits than its factorization.

1102220220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77242.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1102220220101 its reverse (1010220222011), we get a palindrome (2112440442112).

The spelling of 1102220220101 in words is "one trillion, one hundred two billion, two hundred twenty million, two hundred twenty thousand, one hundred one".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 463 1001 2387 2821 3241 4433 5093 6019 14353 31031 35651 42133 66209 76717 100471 157883 186589 463463 537019 843887 997321 1105181 1306123 2052479 2378227 5907209 6981247 10970531 14367353 16647589 26160497 30916951 35519971 76793717 183123479 216418657 248639797 340086461 390719681 461759623 1101119101 2380605227 2735037767 3232317361 5079355853 7707833707 12112310111 14314548313 35555490971 84786170777 100201838191 157460031443 1102220220101