Search a number
-
+
10220221011 = 37211131925589
BaseRepresentation
bin10011000010010110…
…00011001001010011
3222101021011000120010
421201023003021103
5131412334033021
64410050450003
7511160305500
oct114113031123
928337130503
1010220221011
114375059350
121b92893903
13c6b504670
146cd4ca4a7
153ec3ad976
hex2612c3253

10220221011 has 96 divisors (see below), whose sum is σ = 19603987200. Its totient is φ = 4642686720.

The previous prime is 10220221001. The next prime is 10220221129. The reversal of 10220221011 is 11012202201.

It is not a de Polignac number, because 10220221011 - 25 = 10220220979 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10220221001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386605 + ... + 412193.

It is an arithmetic number, because the mean of its divisors is an integer number (204208200).

Almost surely, 210220221011 is an apocalyptic number.

10220221011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10220221011 is a deficient number, since it is larger than the sum of its proper divisors (9383766189).

10220221011 is a wasteful number, since it uses less digits than its factorization.

10220221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25649 (or 25642 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10220221011 its reverse (11012202201), we get a palindrome (21232423212).

The spelling of 10220221011 in words is "ten billion, two hundred twenty million, two hundred twenty-one thousand, eleven".

Divisors: 1 3 7 11 13 19 21 33 39 49 57 77 91 133 143 147 209 231 247 273 399 429 539 627 637 741 931 1001 1463 1617 1729 1911 2717 2793 3003 4389 5187 7007 8151 10241 12103 19019 21021 25589 30723 36309 57057 76767 133133 179123 281479 332657 399399 486191 537369 844437 997971 1253861 1458573 1970353 2328599 3403337 3659227 3761583 5348101 5911059 6320483 6985797 10210011 10977681 13792471 16044303 16300193 18961449 23823359 25614589 37436707 41377413 44243381 48900579 69525313 71470077 76843767 112310121 132730143 179302123 208575939 262056949 309703667 486677191 537906369 786170847 929111001 1460031573 3406740337 10220221011