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1063011001 = 13113769941
BaseRepresentation
bin111111010111000…
…100001010111001
32202002020112221211
4333113010022321
54134112323001
6253252003121
735225305303
oct7727041271
92662215854
101063011001
114a6050998
122580004a1
1313c2cc7c0
14a1270973
15634cb351
hex3f5c42b9

1063011001 has 16 divisors (see below), whose sum is σ = 1157642640. Its totient is φ = 970260480.

The previous prime is 1063010959. The next prime is 1063011013. The reversal of 1063011001 is 1001103601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 258437776 + 804573225 = 16076^2 + 28365^2 .

It is a cyclic number.

It is not a de Polignac number, because 1063011001 - 27 = 1063010873 is a prime.

It is a super-2 number, since 2×10630110012 = 2259984776494044002, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1063011091) 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, 1129191 + ... + 1130131.

It is an arithmetic number, because the mean of its divisors is an integer number (72352665).

Almost surely, 21063011001 is an apocalyptic number.

It is an amenable number.

1063011001 is a deficient number, since it is larger than the sum of its proper divisors (94631639).

1063011001 is a wasteful number, since it uses less digits than its factorization.

1063011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1063011001 is about 32603.8494813113. The cubic root of 1063011001 is about 1020.5773359151.

Adding to 1063011001 its reverse (1001103601), we get a palindrome (2064114602).

The spelling of 1063011001 in words is "one billion, sixty-three million, eleven thousand, one".

Divisors: 1 13 113 769 941 1469 9997 12233 86897 106333 723629 1129661 1382329 9407177 81770077 1063011001