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1001311141 = 23149292183
BaseRepresentation
bin111011101011101…
…100101110100101
32120210010212122211
4323223230232211
54022313424031
6243205323421
733546001315
oct7353545645
92523125584
101001311141
11474239976
1223b406571
1312c5a8bcc
1496dad445
155cd8ebb1
hex3baecba5

1001311141 has 8 divisors (see below), whose sum is σ = 1051862400. Its totient is φ = 951344592.

The previous prime is 1001311133. The next prime is 1001311147. The reversal of 1001311141 is 1411131001.

It is a happy number.

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 1001311141 - 23 = 1001311133 is a prime.

It is a super-3 number, since 3×10013111413 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001311147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142665 + ... + 149518.

It is an arithmetic number, because the mean of its divisors is an integer number (131482800).

Almost surely, 21001311141 is an apocalyptic number.

It is an amenable number.

1001311141 is a deficient number, since it is larger than the sum of its proper divisors (50551259).

1001311141 is a wasteful number, since it uses less digits than its factorization.

1001311141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292355.

The product of its (nonzero) digits is 12, while the sum is 13.

The square root of 1001311141 is about 31643.5007703004. The cubic root of 1001311141 is about 1000.4368561289.

Adding to 1001311141 its reverse (1411131001), we get a palindrome (2412442142).

The spelling of 1001311141 in words is "one billion, one million, three hundred eleven thousand, one hundred forty-one".

Divisors: 1 23 149 3427 292183 6720209 43535267 1001311141