Search a number
-
+
11133340141 = 7112343146197
BaseRepresentation
bin10100101111001100…
…10100100111101101
31001201220100021112011
422113212110213231
5140300113341031
65040430041221
7542615554420
oct122746244755
931656307464
1011133340141
1147a3531260
1221a8649211
131085742541
1477889d9b7
1545262c6b1
hex2979949ed

11133340141 has 32 divisors (see below), whose sum is σ = 14820968448. Its totient is φ = 8105106240.

The previous prime is 11133340139. The next prime is 11133340151. The reversal of 11133340141 is 14104333111.

It is not a de Polignac number, because 11133340141 - 21 = 11133340139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133340151) 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 31 ways as a sum of consecutive naturals, for example, 3055 + ... + 149251.

It is an arithmetic number, because the mean of its divisors is an integer number (463155264).

Almost surely, 211133340141 is an apocalyptic number.

11133340141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11133340141 is a deficient number, since it is larger than the sum of its proper divisors (3687628307).

11133340141 is a wasteful number, since it uses less digits than its factorization.

11133340141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146281.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11133340141 its reverse (14104333111), we get a palindrome (25237673252).

The spelling of 11133340141 in words is "eleven billion, one hundred thirty-three million, three hundred forty thousand, one hundred forty-one".

Divisors: 1 7 11 23 43 77 161 253 301 473 989 1771 3311 6923 10879 76153 146197 1023379 1608167 3362531 6286471 11257169 23537717 36987841 44005297 69151181 144588833 258914887 484058267 1012121831 1590477163 11133340141