Search a number
-
+
1221111211111 = 1124110117314087
BaseRepresentation
bin10001110001001111111…
…001100110010001100111
311022201220100011202022021
4101301033321212101213
5130001313432223421
62332545403044011
7154136163015331
oct21611771462147
94281810152267
101221111211111
11430963498500
121787ab810607
138b1c526a1bc
144316022a451
1521b6d2a4341
hex11c4fe66467

1221111211111 has 48 divisors (see below), whose sum is σ = 1396688940864. Its totient is φ = 1066028480000.

The previous prime is 1221111211057. The next prime is 1221111211141. The reversal of 1221111211111 is 1111121111221.

It is not a de Polignac number, because 1221111211111 - 27 = 1221111210983 is a prime.

It is a super-2 number, since 2×12211112111112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221111211141) 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, 86676510 + ... + 86690596.

It is an arithmetic number, because the mean of its divisors is an integer number (29097686268).

Almost surely, 21221111211111 is an apocalyptic number.

1221111211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1221111211111 is a deficient number, since it is larger than the sum of its proper divisors (175577729753).

1221111211111 is a wasteful number, since it uses less digits than its factorization.

1221111211111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14424 (or 14413 counting only the distinct ones).

The product of its digits is 8, while the sum is 16.

Adding to 1221111211111 its reverse (1111121111221), we get a palindrome (2332232322332).

The spelling of 1221111211111 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 11 41 101 121 173 451 1111 1903 4141 4961 7093 12221 14087 17473 20933 45551 78023 154957 192203 501061 577567 716393 858253 1422787 1704527 2114233 2437051 6353237 7880323 15650657 26807561 58334267 69885607 86683553 99919091 172157227 246142151 294883171 641676937 1099110001 2707563661 7058446307 10091828191 12090210011 29783200271 111010110101 1221111211111