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1020501441 = 32113389049
BaseRepresentation
bin111100110100111…
…001110111000001
32122010020211210200
4330310321313001
54042222021231
6245132515413
734201055601
oct7464716701
92563224720
101020501441
11484056923
1224591bb69
1313356790b
1499766c01
155e8d0be6
hex3cd39dc1

1020501441 has 6 divisors (see below), whose sum is σ = 1474057650. Its totient is φ = 680334288.

The previous prime is 1020501437. The next prime is 1020501451. The reversal of 1020501441 is 1441050201.

It can be written as a sum of positive squares in only one way, i.e., 1019461041 + 1040400 = 31929^2 + 1020^2 .

It is not a de Polignac number, because 1020501441 - 22 = 1020501437 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020501451) 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 5 ways as a sum of consecutive naturals, for example, 56694516 + ... + 56694533.

It is an arithmetic number, because the mean of its divisors is an integer number (245676275).

Almost surely, 21020501441 is an apocalyptic number.

It is an amenable number.

1020501441 is a deficient number, since it is larger than the sum of its proper divisors (453556209).

1020501441 is a wasteful number, since it uses less digits than its factorization.

1020501441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113389055 (or 113389052 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1020501441 is about 31945.2882441214. The cubic root of 1020501441 is about 1006.7876374051.

Adding to 1020501441 its reverse (1441050201), we get a palindrome (2461551642).

The spelling of 1020501441 in words is "one billion, twenty million, five hundred one thousand, four hundred forty-one".

Divisors: 1 3 9 113389049 340167147 1020501441