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1002221020000 = 2554187926669
BaseRepresentation
bin11101001010110010000…
…01110010001101100000
310112210220111122221011001
432211121001302031200
5112410022040120000
62044225230401344
7132256654053004
oct16453101621540
93483814587131
101002221020000
11357048702112
121422a1960254
1373680479965
14367173d6704
151b10b73646a
hexe959072360

1002221020000 has 120 divisors (see below), whose sum is σ = 2467018738800. Its totient is φ = 400660032000.

The previous prime is 1002221019979. The next prime is 1002221020027. The reversal of 1002221020000 is 201222001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 37566666 + ... + 37593334.

It is an arithmetic number, because the mean of its divisors is an integer number (20558489490).

Almost surely, 21002221020000 is an apocalyptic number.

1002221020000 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 1002221020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233509369400).

1002221020000 is an abundant number, since it is smaller than the sum of its proper divisors (1464797718800).

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

1002221020000 is an equidigital number, since it uses as much as digits as its factorization.

1002221020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28578 (or 28555 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002221020000 its reverse (201222001), we get a palindrome (1002422242001).

The spelling of 1002221020000 in words is "one trillion, two billion, two hundred twenty-one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1879 2000 2500 3758 4000 5000 7516 9395 10000 15032 18790 20000 26669 30064 37580 46975 53338 60128 75160 93950 106676 133345 150320 187900 213352 234875 266690 300640 375800 426704 469750 533380 666725 751600 853408 939500 1066760 1174375 1333450 1503200 1879000 2133520 2348750 2666900 3333625 3758000 4267040 4697500 5333800 6667250 7516000 9395000 10667600 13334500 16668125 18790000 21335200 26669000 33336250 37580000 50111051 53338000 66672500 100222102 106676000 133345000 200444204 250555255 266690000 400888408 501110510 533380000 801776816 1002221020 1252776275 1603553632 2004442040 2505552550 4008884080 5011105100 6263881375 8017768160 10022210200 12527762750 20044420400 25055525500 31319406875 40088840800 50111051000 62638813750 100222102000 125277627500 200444204000 250555255000 501110510000 1002221020000