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1033021111120 = 24512912763889
BaseRepresentation
bin11110000100001001101…
…10110011101101010000
310122202102000110200012121
433002010312303231100
5113411111401023440
62110321403304024
7134430140365015
oct17020466635520
93582360420177
101033021111120
11369113539479
1214825881b014
137654b52724b
1437dd9bd170c
151bd1070434a
hexf084db3b50

1033021111120 has 20 divisors (see below), whose sum is σ = 2401774083540. Its totient is φ = 413208444416.

The previous prime is 1033021111099. The next prime is 1033021111139. The reversal of 1033021111120 is 211111203301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 160022400784 + 872998710336 = 400028^2 + 934344^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1033021111094 and 1033021111103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6456381865 + ... + 6456382024.

It is an arithmetic number, because the mean of its divisors is an integer number (120088704177).

Almost surely, 21033021111120 is an apocalyptic number.

1033021111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1033021111120 is an abundant number, since it is smaller than the sum of its proper divisors (1368752972420).

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

1033021111120 is a wasteful number, since it uses less digits than its factorization.

1033021111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12912763902 (or 12912763896 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1033021111120 its reverse (211111203301), we get a palindrome (1244132314421).

The spelling of 1033021111120 in words is "one trillion, thirty-three billion, twenty-one million, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 12912763889 25825527778 51651055556 64563819445 103302111112 129127638890 206604222224 258255277780 516510555560 1033021111120