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1001324431041 = 311220031377169
BaseRepresentation
bin11101001001000111001…
…01100100011011000001
310112201121000120111022120
432210203211210123001
5112401203023243131
62044000241354453
7132225516142014
oct16444345443301
93481530514276
101001324431041
1135672859a600
12142091638a29
13735697a8a4c
14366702c737b
151b0a7b80496
hexe9239646c1

1001324431041 has 24 divisors (see below), whose sum is σ = 1468239497760. Its totient is φ = 606559873920.

The previous prime is 1001324430973. The next prime is 1001324431049. The reversal of 1001324431041 is 1401344231001.

It is not a de Polignac number, because 1001324431041 - 27 = 1001324430913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1001324431049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38505 + ... + 1415673.

It is an arithmetic number, because the mean of its divisors is an integer number (61176645740).

Almost surely, 21001324431041 is an apocalyptic number.

1001324431041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001324431041 is a deficient number, since it is larger than the sum of its proper divisors (466915066719).

1001324431041 is a wasteful number, since it uses less digits than its factorization.

1001324431041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379197 (or 1379186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1001324431041 its reverse (1401344231001), we get a palindrome (2402668662042).

The spelling of 1001324431041 in words is "one trillion, one billion, three hundred twenty-four million, four hundred thirty-one thousand, forty-one".

Divisors: 1 3 11 33 121 363 2003 6009 22033 66099 242363 727089 1377169 4131507 15148859 45446577 166637449 499912347 2758469507 8275408521 30343164577 91029493731 333774810347 1001324431041