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1332310103120 = 245110915017021
BaseRepresentation
bin10011011000110011110…
…111101101010001010000
311201100220222111202100002
4103120303313231101100
5133312032341244440
62500015501145132
7165153613010633
oct23306367552120
94640828452302
101332310103120
11474036357957
12196263b5b1a8
1398836c61159
14486ac731c1a
15249ca769115
hex13633ded450

1332310103120 has 40 divisors (see below), whose sum is σ = 3100414362120. Its totient is φ = 532443461120.

The previous prime is 1332310103063. The next prime is 1332310103149. The reversal of 1332310103120 is 213010132331.

It can be written as a sum of positive squares in 4 ways, for example, as 56440455184 + 1275869647936 = 237572^2 + 1129544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1332310103092 and 1332310103101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7419791 + ... + 7597230.

It is an arithmetic number, because the mean of its divisors is an integer number (77510359053).

Almost surely, 21332310103120 is an apocalyptic number.

1332310103120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1332310103120 is an abundant number, since it is smaller than the sum of its proper divisors (1768104259000).

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

1332310103120 is a wasteful number, since it uses less digits than its factorization.

1332310103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018143 (or 15018137 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1332310103120 its reverse (213010132331), we get a palindrome (1545320235451).

The spelling of 1332310103120 in words is "one trillion, three hundred thirty-two billion, three hundred ten million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1109 2218 4436 5545 8872 11090 17744 22180 44360 88720 15017021 30034042 60068084 75085105 120136168 150170210 240272336 300340420 600680840 1201361680 16653876289 33307752578 66615505156 83269381445 133231010312 166538762890 266462020624 333077525780 666155051560 1332310103120