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1005015012 = 223137611323
BaseRepresentation
bin111011111001110…
…100111111100100
32121001010001102020
4323321310333210
54024240440022
6243420543140
733622325631
oct7371647744
92531101366
101005015012
11476339721
122406b1ab0
131302a4a51
1497695188
155d37235c
hex3be74fe4

1005015012 has 24 divisors (see below), whose sum is σ = 2362155936. Its totient is φ = 332559168.

The previous prime is 1005014999. The next prime is 1005015029. The reversal of 1005015012 is 2105105001.

It is a junction number, because it is equal to n+sod(n) for n = 1005014982 and 1005015000.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 304018 + ... + 307305.

It is an arithmetic number, because the mean of its divisors is an integer number (98423164).

Almost surely, 21005015012 is an apocalyptic number.

1005015012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005015012 is an abundant number, since it is smaller than the sum of its proper divisors (1357140924).

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

1005015012 is a wasteful number, since it uses less digits than its factorization.

1005015012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611467 (or 611465 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 1005015012 is about 31701.9717367863. The cubic root of 1005015012 is about 1001.6688839437.

The spelling of 1005015012 in words is "one billion, five million, fifteen thousand, twelve".

Divisors: 1 2 3 4 6 12 137 274 411 548 822 1644 611323 1222646 1833969 2445292 3667938 7335876 83751251 167502502 251253753 335005004 502507506 1005015012