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1021331000000 = 26561021331
BaseRepresentation
bin11101101110011000001…
…00100100101011000000
310121122020022110111111002
432313030010210223000
5113213141214000000
62101105403511132
7133534351155263
oct16671404445300
93548208414432
101021331000000
113641647a5a13
12145b358284a8
137540764362c
143760b3dccda
151b8792978d5
hexedcc124ac0

1021331000000 has 98 divisors (see below), whose sum is σ = 2533349682084. Its totient is φ = 408532000000.

The previous prime is 1021330999979. The next prime is 1021331000009. The reversal of 1021331000000 is 1331201.

It is a super-2 number, since 2×10213310000002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1021331000009) 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 13 ways as a sum of consecutive naturals, for example, 489335 + ... + 1510665.

Almost surely, 21021331000000 is an apocalyptic number.

1021331000000 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 1021331000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266674841042).

1021331000000 is an abundant number, since it is smaller than the sum of its proper divisors (1512018682084).

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

1021331000000 is an frugal number, since it uses more digits than its factorization.

1021331000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021373 (or 1021338 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 1021331000000 its reverse (1331201), we get a palindrome (1021332331201).

The spelling of 1021331000000 in words is "one trillion, twenty-one billion, three hundred thirty-one million", and thus it is an aban 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 1021331 2042662 4085324 5106655 8170648 10213310 16341296 20426620 25533275 32682592 40853240 51066550 65365184 81706480 102133100 127666375 163412960 204266200 255332750 326825920 408532400 510665500 638331875 817064800 1021331000 1276663750 1634129600 2042662000 2553327500 3191659375 4085324000 5106655000 6383318750 8170648000 10213310000 12766637500 15958296875 20426620000 25533275000 31916593750 40853240000 51066550000 63833187500 102133100000 127666375000 204266200000 255332750000 510665500000 1021331000000