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1000063441 = 13312719157
BaseRepresentation
bin111011100110111…
…100000111010001
32120200210111010201
4323212330013101
54022004012231
6243122455201
733532253566
oct7346740721
92520714121
101000063441
11473567513
1223ab04501
1312c260020
1496b6686d
155cbe5161
hex3b9bc1d1

1000063441 has 16 divisors (see below), whose sum is σ = 1115957248. Its totient is φ = 889963200.

The previous prime is 1000063433. The next prime is 1000063451. The reversal of 1000063441 is 1443600001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1000063441 - 23 = 1000063433 is a prime.

It is a super-3 number, since 3×10000634413 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000063411) 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 15 ways as a sum of consecutive naturals, for example, 104635 + ... + 113791.

It is an arithmetic number, because the mean of its divisors is an integer number (69747328).

Almost surely, 21000063441 is an apocalyptic number.

It is an amenable number.

1000063441 is a deficient number, since it is larger than the sum of its proper divisors (115893807).

1000063441 is a wasteful number, since it uses less digits than its factorization.

1000063441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9472.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1000063441 is about 31623.7796760602. The cubic root of 1000063441 is about 1000.0211465528.

Adding to 1000063441 its reverse (1443600001), we get a palindrome (2443663442).

It can be divided in two parts, 10000 and 63441, that added together give a square (73441 = 2712).

The spelling of 1000063441 in words is "one billion, sixty-three thousand, four hundred forty-one".

Divisors: 1 13 31 271 403 3523 8401 9157 109213 119041 283867 2481547 3690271 32260111 76927957 1000063441