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1131221311 = 111011018201
BaseRepresentation
bin100001101101101…
…0001000100111111
32220211120222220121
41003123101010333
54304043040221
6304125555411
740014136213
oct10333210477
92824528817
101131221311
115305aa350
12276a15b67
1315049282c
14aa348943
15694a1a41
hex436d113f

1131221311 has 8 divisors (see below), whose sum is σ = 1246279248. Its totient is φ = 1018200000.

The previous prime is 1131221309. The next prime is 1131221363.

It is a happy number.

1131221311 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1131221311 - 21 = 1131221309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131221381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 507990 + ... + 510211.

It is an arithmetic number, because the mean of its divisors is an integer number (155784906).

Almost surely, 21131221311 is an apocalyptic number.

1131221311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1131221311 is a deficient number, since it is larger than the sum of its proper divisors (115057937).

1131221311 is a wasteful number, since it uses less digits than its factorization.

1131221311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018313.

The product of its digits is 36, while the sum is 16.

The square root of 1131221311 is about 33633.6336276650. The cubic root of 1131221311 is about 1041.9555510602.

It can be divided in two parts, 11312 and 21311, that added together give a palindrome (32623).

The spelling of 1131221311 in words is "one billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred eleven".

Divisors: 1 11 101 1111 1018201 11200211 102838301 1131221311