Search a number
-
+
11012133011011 = 1110124152178941
BaseRepresentation
bin1010000000111111011001…
…0001101011111001000011
31102222202020111001111110121
42200033312101223321003
52420410322022323021
635230523140041111
72214412631111266
oct240176621537103
942882214044417
1011012133011011
113566245aa9740
12129a285093197
1361b593cb9a02
142a0dc0ad8cdd
151416b6950741
hexa03f646be43

11012133011011 has 32 divisors (see below), whose sum is σ = 12206057510592. Its totient is φ = 9851712000000.

The previous prime is 11012133010997. The next prime is 11012133011017. The reversal of 11012133011011 is 11011033121011.

11012133011011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 11012133011011 - 221 = 11012130913859 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012133011017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139458801 + ... + 139537741.

It is an arithmetic number, because the mean of its divisors is an integer number (381439297206).

Almost surely, 211012133011011 is an apocalyptic number.

11012133011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11012133011011 is a deficient number, since it is larger than the sum of its proper divisors (1193924499581).

11012133011011 is a wasteful number, since it uses less digits than its factorization.

11012133011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79815.

The product of its (nonzero) digits is 18, while the sum is 16.

Adding to 11012133011011 its reverse (11011033121011), we get a palindrome (22023166132022).

The spelling of 11012133011011 in words is "eleven trillion, twelve billion, one hundred thirty-three million, eleven thousand, eleven".

Divisors: 1 11 101 241 521 1111 2651 5731 24341 52621 78941 125561 267751 578831 868351 1381171 7973041 12681661 19024781 41128261 87703451 139498271 209272591 452410871 1921502881 4153954361 9911910901 21136531691 45693497971 109031019911 1001103001001 11012133011011