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1121331211 = 711131120211
BaseRepresentation
bin100001011010110…
…0010100000001011
32220010222112020121
41002311202200023
54244030044321
6303134004111
736534105130
oct10265424013
92803875217
101121331211
11525a64810
12273646637
1314b40bcc0
14a8cd2587
156869b441
hex42d6280b

1121331211 has 16 divisors (see below), whose sum is σ = 1505564928. Its totient is φ = 806551200.

The previous prime is 1121331199. The next prime is 1121331221.

It is a happy number.

1121331211 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1121331211 - 27 = 1121331083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1121331221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559105 + ... + 561106.

It is an arithmetic number, because the mean of its divisors is an integer number (94097808).

Almost surely, 21121331211 is an apocalyptic number.

1121331211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1121331211 is a deficient number, since it is larger than the sum of its proper divisors (384233717).

1121331211 is a wasteful number, since it uses less digits than its factorization.

1121331211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120242.

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

The square root of 1121331211 is about 33486.2839234215. The cubic root of 1121331211 is about 1038.9101042072.

It can be divided in two parts, 11213 and 31211, that added together give a palindrome (42424).

The spelling of 1121331211 in words is "one billion, one hundred twenty-one million, three hundred thirty-one thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 1120211 7841477 12322321 14562743 86256247 101939201 160190173 1121331211