Search a number
-
+
11111322311111 = 111010120210101
BaseRepresentation
bin1010000110110000111001…
…1010110101100111000111
31110100020021011020000112002
42201230032122311213013
52424021442002423421
635344245423015515
72224523632210241
oct241541632654707
943306234200462
1011111322311111
1135a4315855a20
1212b554743a59b
13627a4086b269
142a5b10207091
1514406e8ecb0b
hexa1b0e6b59c7

11111322311111 has 4 divisors (see below), whose sum is σ = 12121442521224. Its totient is φ = 10101202101000.

The previous prime is 11111322311087. The next prime is 11111322311161.

11111322311111 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11111322311111 is a prime.

It is a super-2 number, since 2×111113223111112 (a number of 27 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 (11111322311161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 505060105040 + ... + 505060105061.

It is an arithmetic number, because the mean of its divisors is an integer number (3030360630306).

Almost surely, 211111322311111 is an apocalyptic number.

11111322311111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11111322311111 is a deficient number, since it is larger than the sum of its proper divisors (1010120210113).

11111322311111 is a wasteful number, since it uses less digits than its factorization.

11111322311111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010120210112.

The product of its digits is 36, while the sum is 20.

It can be divided in two parts, 1111132 and 2311111, that added together give a palindrome (3422243).

The spelling of 11111322311111 in words is "eleven trillion, one hundred eleven billion, three hundred twenty-two million, three hundred eleven thousand, one hundred eleven".

Divisors: 1 11 1010120210101 11111322311111