Search a number
-
+
1121111020221 = 313116071775171
BaseRepresentation
bin10000010100000111011…
…011001001001010111101
310222011210011011201012120
4100110013123021022331
5121332013410121341
62215010431553153
7143666114303313
oct20240733111275
93864704151176
101121111020221
113a2507a41a45
1216134198b7b9
13819496c190a
143c39515a0b3
151e26902d066
hex105076c92bd

1121111020221 has 16 divisors (see below), whose sum is σ = 1507163632128. Its totient is φ = 741239985200.

The previous prime is 1121111020153. The next prime is 1121111020247. The reversal of 1121111020221 is 1220201111211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1121111020221 - 211 = 1121111018173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1121111020221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121111020291) 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 15 ways as a sum of consecutive naturals, for example, 256035 + ... + 1519136.

It is an arithmetic number, because the mean of its divisors is an integer number (94197727008).

Almost surely, 21121111020221 is an apocalyptic number.

It is an amenable number.

1121111020221 is a deficient number, since it is larger than the sum of its proper divisors (386052611907).

1121111020221 is a wasteful number, since it uses less digits than its factorization.

1121111020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776912.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1121111020221 its reverse (1220201111211), we get a palindrome (2341312131432).

The spelling of 1121111020221 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, twenty thousand, two hundred twenty-one".

Divisors: 1 3 131 393 1607 4821 210517 631551 1775171 5325513 232547401 697642203 2852699797 8558099391 373703673407 1121111020221