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1001144013 = 33037109883
BaseRepresentation
bin111011101011000…
…011111011001101
32120202211101101220
4323223003323031
54022243102023
6243201553553
733544404132
oct7353037315
92522741356
101001144013
11474135351
1223b3458b9
1312c54ab0c
1496d68589
155cd5a3e3
hex3bac3ecd

1001144013 has 8 divisors (see below), whose sum is σ = 1335310368. Its totient is φ = 667203504.

The previous prime is 1001143961. The next prime is 1001144021. The reversal of 1001144013 is 3104411001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001144013 - 217 = 1001012941 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1001143983 and 1001144001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001144033) 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, 45831 + ... + 64052.

It is an arithmetic number, because the mean of its divisors is an integer number (166913796).

Almost surely, 21001144013 is an apocalyptic number.

It is an amenable number.

1001144013 is a deficient number, since it is larger than the sum of its proper divisors (334166355).

1001144013 is a wasteful number, since it uses less digits than its factorization.

1001144013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112923.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1001144013 is about 31640.8598650542. The cubic root of 1001144013 is about 1000.3811923406.

Adding to 1001144013 its reverse (3104411001), we get a palindrome (4105555014).

The spelling of 1001144013 in words is "one billion, one million, one hundred forty-four thousand, thirteen".

Divisors: 1 3 3037 9111 109883 329649 333714671 1001144013