Search a number
-
+
1001132032008 = 23366751624917
BaseRepresentation
bin11101001000110000001…
…11101000000000001000
310112201002121112121110110
432210120013220000020
5112400304300011013
62043525205514320
7132220661602623
oct16443007500010
93481077477413
101001132032008
11356639a29339
121420391129a0
1373538983374
1436652922dba
151b095d282c3
hexe9181e8008

1001132032008 has 32 divisors (see below), whose sum is σ = 2502871580160. Its totient is φ = 333705144000.

The previous prime is 1001132031989. The next prime is 1001132032009. The reversal of 1001132032008 is 8002302311001.

It is not an unprimeable number, because it can be changed into a prime (1001132032009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1289566 + ... + 1914482.

It is an arithmetic number, because the mean of its divisors is an integer number (78214736880).

Almost surely, 21001132032008 is an apocalyptic number.

It is an amenable number.

1001132032008 is an abundant number, since it is smaller than the sum of its proper divisors (1501739548152).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001132032008 is a wasteful number, since it uses less digits than its factorization.

1001132032008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691677 (or 691673 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1001132032008 its reverse (8002302311001), we get a palindrome (9003434343009).

The spelling of 1001132032008 in words is "one trillion, one billion, one hundred thirty-two million, thirty-two thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 66751 133502 200253 267004 400506 534008 624917 801012 1249834 1602024 1874751 2499668 3749502 4999336 7499004 14998008 41713834667 83427669334 125141504001 166855338668 250283008002 333710677336 500566016004 1001132032008