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1321331231 = 111941271569
BaseRepresentation
bin100111011000001…
…1110101000011111
310102002022120200202
41032300132220133
510201230044411
6335040414115
744513062433
oct11660365037
93362276622
101321331231
11618947790
1230a61733b
131809962cc
14c76b49c3
157b00583b
hex4ec1ea1f

1321331231 has 32 divisors (see below), whose sum is σ = 1562803200. Its totient is φ = 1104192000.

The previous prime is 1321331191. The next prime is 1321331251.

1321331231 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1321331231 is a prime.

It is a super-2 number, since 2×13213312312 = 3491832444031950722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1321331251) 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 31 ways as a sum of consecutive naturals, for example, 2321915 + ... + 2322483.

It is an arithmetic number, because the mean of its divisors is an integer number (48837600).

Almost surely, 21321331231 is an apocalyptic number.

1321331231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1321331231 is a deficient number, since it is larger than the sum of its proper divisors (241471969).

1321331231 is a wasteful number, since it uses less digits than its factorization.

1321331231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911.

The product of its digits is 324, while the sum is 20.

The square root of 1321331231 is about 36350.1200960877. The cubic root of 1321331231 is about 1097.3299514628.

It can be divided in two parts, 13213 and 31231, that added together give a palindrome (44444).

The spelling of 1321331231 in words is "one billion, three hundred twenty-one million, three hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 11 19 41 209 271 451 569 779 2981 5149 6259 8569 10811 11111 23329 56639 118921 122221 154199 211109 256619 443251 1696189 2322199 2929781 4875761 6322159 32227591 69543749 120121021 1321331231