Search a number
-
+
1100133132011 = 139149405713093
BaseRepresentation
bin10000000000100101000…
…010110110011011101011
310220011122011120120111222
4100000211002312123223
5121011033040211021
62201221051012255
7142324216221344
oct20004502663353
93804564516458
101100133132011
11394622522051
1215926843a08b
137c98554c504
143b3650410cb
151d93c4ec6ab
hex100250b66eb

1100133132011 has 16 divisors (see below), whose sum is σ = 1115844492000. Its totient is φ = 1084537928448.

The previous prime is 1100133131921. The next prime is 1100133132013. The reversal of 1100133132011 is 1102313310011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1100133132011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100133132013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84017981 + ... + 84031073.

It is an arithmetic number, because the mean of its divisors is an integer number (69740280750).

Almost surely, 21100133132011 is an apocalyptic number.

1100133132011 is a deficient number, since it is larger than the sum of its proper divisors (15711359989).

1100133132011 is a wasteful number, since it uses less digits than its factorization.

1100133132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17438.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1100133132011 its reverse (1102313310011), we get a palindrome (2202446442022).

The spelling of 1100133132011 in words is "one trillion, one hundred billion, one hundred thirty-three million, one hundred thirty-two thousand, eleven".

Divisors: 1 139 149 4057 13093 20711 563923 604493 1819927 1950857 53118301 84024527 271169123 7383443839 7914626849 1100133132011