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1001141433 = 32532777577
BaseRepresentation
bin111011101011000…
…011010010111001
32120202211020212100
4323223003102321
54022243011213
6243201534013
733544363455
oct7353032271
92522736770
101001141433
11474133416
1223b344309
1312c5498a6
1496d67665
155cd59773
hex3bac34b9

1001141433 has 24 divisors (see below), whose sum is σ = 1478892168. Its totient is φ = 652384512.

The previous prime is 1001141423. The next prime is 1001141527. The reversal of 1001141433 is 3341411001.

It can be written as a sum of positive squares in 4 ways, for example, as 558009 + 1000583424 = 747^2 + 31632^2 .

It is not a de Polignac number, because 1001141433 - 24 = 1001141417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001141413) 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 23 ways as a sum of consecutive naturals, for example, 128341 + ... + 135917.

It is an arithmetic number, because the mean of its divisors is an integer number (61620507).

Almost surely, 21001141433 is an apocalyptic number.

It is an amenable number.

1001141433 is a deficient number, since it is larger than the sum of its proper divisors (477750735).

1001141433 is a wasteful number, since it uses less digits than its factorization.

1001141433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7910 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1001141433 is about 31640.8190949602. The cubic root of 1001141433 is about 1000.3803329951.

Adding to 1001141433 its reverse (3341411001), we get a palindrome (4342552434).

The spelling of 1001141433 in words is "one billion, one million, one hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 53 159 277 477 831 2493 7577 14681 22731 44043 68193 132129 401581 1204743 2098829 3614229 6296487 18889461 111237937 333713811 1001141433