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1001003000000 = 26561001003
BaseRepresentation
bin11101001000100000110…
…11011010000011000000
310112200202121202002211012
432210100123122003000
5112400023232000000
62043504320140052
7132214534053203
oct16442033320300
93480677662735
101001003000000
11356583108713
12142001a67628
1373518016373
143663d73593a
151b08983b735
hexe9106da0c0

1001003000000 has 98 divisors (see below), whose sum is σ = 2482927358748. Its totient is φ = 400400800000.

The previous prime is 1001002999993. The next prime is 1001003000027. The reversal of 1001003000000 is 3001001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 499499 + ... + 1500501.

Almost surely, 21001003000000 is an apocalyptic number.

1001003000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001003000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241463679374).

1001003000000 is an abundant number, since it is smaller than the sum of its proper divisors (1481924358748).

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

1001003000000 is an frugal number, since it uses more digits than its factorization.

1001003000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1001045 (or 1001010 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 5.

Adding to 1001003000000 its reverse (3001001), we get a palindrome (1001006001001).

The spelling of 1001003000000 in words is "one trillion, one billion, three million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 1001003 2002006 4004012 5005015 8008024 10010030 16016048 20020060 25025075 32032096 40040120 50050150 64064192 80080240 100100300 125125375 160160480 200200600 250250750 320320960 400401200 500501500 625626875 800802400 1001003000 1251253750 1601604800 2002006000 2502507500 3128134375 4004012000 5005015000 6256268750 8008024000 10010030000 12512537500 15640671875 20020060000 25025075000 31281343750 40040120000 50050150000 62562687500 100100300000 125125375000 200200600000 250250750000 500501500000 1001003000000