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1001001000012 = 2231319133595147
BaseRepresentation
bin11101001000100000100…
…11110001110001001100
310112200202110222111100120
432210100103301301030
5112400022224000022
62043504205224540
7132214511053266
oct16442023616114
93480673874316
101001001000012
11356581a72032
12142001262150
1373517795c40
143663d374b36
151b089593d5c
hexe9104f1c4c

1001001000012 has 48 divisors (see below), whose sum is σ = 2528505219072. Its totient is φ = 306387731520.

The previous prime is 1001000999987. The next prime is 1001001000019. The reversal of 1001001000012 is 2100001001001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1001001000019) 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, 16767778 + ... + 16827369.

It is an arithmetic number, because the mean of its divisors is an integer number (52677192064).

Almost surely, 21001001000012 is an apocalyptic number.

1001001000012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001001000012 is an abundant number, since it is smaller than the sum of its proper divisors (1527504219060).

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

1001001000012 is a wasteful number, since it uses less digits than its factorization.

1001001000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33595358 (or 33595356 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001001000012 its reverse (2100001001001), we get a palindrome (3101002001013).

The spelling of 1001001000012 in words is "one trillion, one billion, one million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 191 382 573 764 1146 2292 2483 4966 7449 9932 14898 29796 33595147 67190294 100785441 134380588 201570882 403141764 436736911 873473822 1310210733 1746947644 2620421466 5240842932 6416673077 12833346154 19250019231 25666692308 38500038462 77000076924 83416750001 166833500002 250250250003 333667000004 500500500006 1001001000012