Search a number
-
+
11122121022221 = 11233110164721701
BaseRepresentation
bin1010000111011001001000…
…0100101001101100001101
31110101021010201220101022102
42201312102010221230031
52424211100440202341
635353233140524445
72225355345560066
oct241662204515415
943337121811272
1011122121022221
1135a8957400460
1212b765b9b0725
13628a71b79a51
142a645647b56d
151444a297ac9b
hexa1d92129b0d

11122121022221 has 64 divisors (see below), whose sum is σ = 13219572252672. Its totient is φ = 9252012000000.

The previous prime is 11122121022197. The next prime is 11122121022247. The reversal of 11122121022221 is 12222012122111.

It is not a de Polignac number, because 11122121022221 - 26 = 11122121022157 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11122121022193 and 11122121022202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11122121022251) 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 63 ways as a sum of consecutive naturals, for example, 512505671 + ... + 512527371.

It is an arithmetic number, because the mean of its divisors is an integer number (206555816448).

Almost surely, 211122121022221 is an apocalyptic number.

11122121022221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11122121022221 is a deficient number, since it is larger than the sum of its proper divisors (2097451230451).

11122121022221 is a wasteful number, since it uses less digits than its factorization.

11122121022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22514.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 11122121022221 its reverse (12222012122111), we get a palindrome (23344133144332).

The spelling of 11122121022221 in words is "eleven trillion, one hundred twenty-two billion, one hundred twenty-one million, twenty-two thousand, two hundred twenty-one".

Divisors: 1 11 23 31 101 253 341 647 713 1111 2323 3131 7117 7843 14881 20057 21701 25553 34441 65347 72013 163691 220627 238711 461311 499123 672731 718817 792143 1502981 2025757 2191801 5074421 5490353 7400041 14040547 15472813 16532791 22283327 24109811 46592411 50411423 67945831 154446017 170200943 322932581 435256957 512516521 554525653 747404141 1418095247 1562754113 3552258391 4787826527 10010910011 15599047717 17190295243 32616190681 43960952657 110120010121 358778097491 483570479227 1011101911111 11122121022221