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10005332024 = 231250666503
BaseRepresentation
bin10010101000101110…
…10100000000111000
3221211021210112021202
421110113110000320
5130442331111044
64332452553332
7502640630132
oct112427240070
927737715252
1010005332024
114274827046
121b32922848
13c35b3640c
146acb50052
153d85b2c4e
hex2545d4038

10005332024 has 8 divisors (see below), whose sum is σ = 18759997560. Its totient is φ = 5002666008.

The previous prime is 10005332011. The next prime is 10005332053. The reversal of 10005332024 is 42023350001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (8).

It is a junction number, because it is equal to n+sod(n) for n = 10005331987 and 10005332005.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 625333244 + ... + 625333259.

It is an arithmetic number, because the mean of its divisors is an integer number (2344999695).

Almost surely, 210005332024 is an apocalyptic number.

It is an amenable number.

10005332024 is a deficient number, since it is larger than the sum of its proper divisors (8754665536).

10005332024 is a wasteful number, since it uses less digits than its factorization.

10005332024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250666509 (or 1250666505 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10005332024 its reverse (42023350001), we get a palindrome (52028682025).

The spelling of 10005332024 in words is "ten billion, five million, three hundred thirty-two thousand, twenty-four".

Divisors: 1 2 4 8 1250666503 2501333006 5002666012 10005332024