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1005150034 = 27229353677
BaseRepresentation
bin111011111010010…
…101111101010010
32121001100220122001
4323322111331102
54024304300114
6243423504214
733623430400
oct7372257522
92531326561
101005150034
11476421109
1224075806a
13130321345
14976cc470
155d39c374
hex3be95f52

1005150034 has 24 divisors (see below), whose sum is σ = 1814368140. Its totient is φ = 415922976.

The previous prime is 1005150023. The next prime is 1005150079. The reversal of 1005150034 is 4300515001.

It can be written as a sum of positive squares in 2 ways, for example, as 882981225 + 122168809 = 29715^2 + 11053^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1005149993 and 1005150020.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 173997 + ... + 179680.

Almost surely, 21005150034 is an apocalyptic number.

1005150034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005150034 is a deficient number, since it is larger than the sum of its proper divisors (809218106).

1005150034 is a wasteful number, since it uses less digits than its factorization.

1005150034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353722 (or 353715 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 1005150034 is about 31704.1012173504. The cubic root of 1005150034 is about 1001.7137394195.

Adding to 1005150034 its reverse (4300515001), we get a palindrome (5305665035).

The spelling of 1005150034 in words is "one billion, five million, one hundred fifty thousand, thirty-four".

Divisors: 1 2 7 14 29 49 58 98 203 406 1421 2842 353677 707354 2475739 4951478 10256633 17330173 20513266 34660346 71796431 143592862 502575017 1005150034