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1032233000000 = 26561032233
BaseRepresentation
bin11110000010101011110…
…00011001110001000000
310122200101002111110222212
433001111320121301000
5113403003122000000
62110111251321252
7134401460505656
oct17012570316100
93580332443885
101032233000000
11368849688974
121480788b0228
13764541778c7
1437d6327cdd6
151bcb6429c35
hexf055e19c40

1032233000000 has 98 divisors (see below), whose sum is σ = 2560391406258. Its totient is φ = 412892800000.

The previous prime is 1032232999939. The next prime is 1032233000011. The reversal of 1032233000000 is 3322301.

It can be written as a sum of positive squares in 7 ways, for example, as 1032109701184 + 123298816 = 1015928^2 + 11104^2 .

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 13 ways as a sum of consecutive naturals, for example, 483884 + ... + 1516116.

It is an arithmetic number, because the mean of its divisors is an integer number (26126442921).

Almost surely, 21032233000000 is an apocalyptic number.

1032233000000 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 1032233000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280195703129).

1032233000000 is an abundant number, since it is smaller than the sum of its proper divisors (1528158406258).

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

1032233000000 is an frugal number, since it uses more digits than its factorization.

1032233000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032275 (or 1032240 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 1032233000000 its reverse (3322301), we get a palindrome (1032236322301).

The spelling of 1032233000000 in words is "one trillion, thirty-two billion, two hundred thirty-three 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 1032233 2064466 4128932 5161165 8257864 10322330 16515728 20644660 25805825 33031456 41289320 51611650 66062912 82578640 103223300 129029125 165157280 206446600 258058250 330314560 412893200 516116500 645145625 825786400 1032233000 1290291250 1651572800 2064466000 2580582500 3225728125 4128932000 5161165000 6451456250 8257864000 10322330000 12902912500 16128640625 20644660000 25805825000 32257281250 41289320000 51611650000 64514562500 103223300000 129029125000 206446600000 258058250000 516116500000 1032233000000