Search a number
-
+
1122211102221 = 3211173388116883
BaseRepresentation
bin10000010101001000111…
…111100111111000001101
310222021121211011200000100
4100111020333213320031
5121341242020232341
62215311530321313
7144035302660416
oct20251077477015
93867554150010
101122211102221
113a2a21a02920
121615aa289239
1381a935a0a01
143c45b2ba80d
151e2d08cd3b6
hex10548fe7e0d

1122211102221 has 48 divisors (see below), whose sum is σ = 1779117867072. Its totient is φ = 675982291200.

The previous prime is 1122211102171. The next prime is 1122211102223. The reversal of 1122211102221 is 1222011122211.

1122211102221 is a `hidden beast` number, since 112 + 221 + 110 + 2 + 221 = 666.

It is not a de Polignac number, because 1122211102221 - 214 = 1122211085837 is a prime.

It is a super-2 number, since 2×11222111022212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1122211102194 and 1122211102203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1122211102223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66461446 + ... + 66478328.

It is an arithmetic number, because the mean of its divisors is an integer number (37064955564).

Almost surely, 21122211102221 is an apocalyptic number.

1122211102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1122211102221 is a deficient number, since it is larger than the sum of its proper divisors (656906764851).

1122211102221 is a wasteful number, since it uses less digits than its factorization.

1122211102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20954 (or 20951 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122211102221 its reverse (1222011122211), we get a palindrome (2344222224432).

The spelling of 1122211102221 in words is "one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 9 11 33 99 173 519 1557 1903 3881 5709 11643 16883 17127 34929 42691 50649 128073 151947 185713 384219 557139 671413 1671417 2014239 2920759 6042717 7385543 8762277 22156629 26286831 32128349 65522923 66469887 96385047 196568769 289155141 589706307 720752153 2162256459 6486769377 11335465679 34006397037 102019191111 124690122469 374070367407 1122211102221