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1331443113 = 3711132337521
BaseRepresentation
bin100111101011100…
…0011010110101001
310102210100022120220
41033113003112221
510211322134423
6340041240253
744665036230
oct11727032651
93383308526
101331443113
11623623a10
12311a93089
13182ac6a80
14c8b87b17
157bd519e3
hex4f5c35a9

1331443113 has 128 divisors (see below), whose sum is σ = 2559320064. Its totient is φ = 593049600.

The previous prime is 1331443097. The next prime is 1331443129. The reversal of 1331443113 is 3113441331.

It is an interprime number because it is at equal distance from previous prime (1331443097) and next prime (1331443129).

It is not a de Polignac number, because 1331443113 - 24 = 1331443097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1331443133) 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 127 ways as a sum of consecutive naturals, for example, 2555293 + ... + 2555813.

It is an arithmetic number, because the mean of its divisors is an integer number (19994688).

Almost surely, 21331443113 is an apocalyptic number.

1331443113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1331443113 is a deficient number, since it is larger than the sum of its proper divisors (1227876951).

1331443113 is a wasteful number, since it uses less digits than its factorization.

1331443113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615.

The product of its digits is 1296, while the sum is 24.

The square root of 1331443113 is about 36488.9450792976. The cubic root of 1331443113 is about 1100.1220561531.

Adding to 1331443113 its reverse (3113441331), we get a palindrome (4444884444).

It can be divided in two parts, 1331 and 443113, that added together give a palindrome (444444).

The spelling of 1331443113 in words is "one billion, three hundred thirty-one million, four hundred forty-three thousand, one hundred thirteen".

Divisors: 1 3 7 11 13 21 23 33 37 39 69 77 91 111 143 161 231 253 259 273 299 407 429 481 483 521 759 777 851 897 1001 1221 1443 1563 1771 2093 2553 2849 3003 3289 3367 3647 5291 5313 5731 5957 6279 6773 8547 9361 9867 10101 10941 11063 11983 15873 17193 17871 19277 20319 23023 28083 33189 35949 37037 40117 47411 57831 65527 69069 74503 77441 83881 111111 120351 121693 131813 134939 142233 155779 196581 212047 223509 232323 250601 251643 365079 395439 404817 443371 467337 521521 636141 751803 851851 922691 1090453 1330113 1484329 1564563 1713569 1754207 2555553 2756611 2768073 3103597 3271359 4452987 4877081 5140707 5262621 5763823 8269833 9310791 11994983 14631243 17291469 19296277 34139567 35984949 40346761 57888831 63402053 102418701 121040283 190206159 443814371 1331443113