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1002012320000 = 28546262577
BaseRepresentation
bin11101001010011001001…
…01101010000100000000
310112210100221221212120102
432211030211222010000
5112404110123220000
62044152413301532
7132251541122126
oct16451445520400
93483327855512
101002012320000
11356a5091777a
12142243a948a8
1373649167733
14366d77cb916
151b0e825e3d5
hexe94c96a100

1002012320000 has 90 divisors (see below), whose sum is σ = 2499338516598. Its totient is φ = 400804864000.

The previous prime is 1002012319909. The next prime is 1002012320059. The reversal of 1002012320000 is 232102001.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 312740429824 + 689271890176 = 559232^2 + 830224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2971289 + ... + 3291288.

Almost surely, 21002012320000 is an apocalyptic number.

1002012320000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002012320000 is an abundant number, since it is smaller than the sum of its proper divisors (1497326196598).

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

1002012320000 is an frugal number, since it uses more digits than its factorization.

1002012320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6262613 (or 6262584 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1002012320000 its reverse (232102001), we get a palindrome (1002244422001).

The spelling of 1002012320000 in words is "one trillion, two billion, twelve million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 160000 6262577 12525154 25050308 31312885 50100616 62625770 100201232 125251540 156564425 200402464 250503080 313128850 400804928 501006160 626257700 782822125 801609856 1002012320 1252515400 1565644250 1603219712 2004024640 2505030800 3131288500 3914110625 4008049280 5010061600 6262577000 7828221250 8016098560 10020123200 12525154000 15656442500 20040246400 25050308000 31312885000 40080492800 50100616000 62625770000 100201232000 125251540000 200402464000 250503080000 501006160000 1002012320000