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1320103311104 = 28137268314029
BaseRepresentation
bin10011001101011100010…
…010011111011100000000
311200012102021021110200002
4103031130102133130000
5133112032421423404
62450240323215132
7164242251001004
oct23153422373400
94605367243602
101320103311104
114699419a4396
12193a17b174a8
13976400049b6
1447c71484704
1524513c9bc1e
hex1335c49f700

1320103311104 has 72 divisors (see below), whose sum is σ = 2655462477360. Its totient is φ = 654942855168.

The previous prime is 1320103311071. The next prime is 1320103311143. The reversal of 1320103311104 is 4011133010231.

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 7 ways as a sum of consecutive naturals, for example, 94091162 + ... + 94105190.

Almost surely, 21320103311104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320103311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327731238680).

1320103311104 is an abundant number, since it is smaller than the sum of its proper divisors (1335359166256).

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

1320103311104 is a wasteful number, since it uses less digits than its factorization.

1320103311104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16865 (or 16851 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1320103311104 its reverse (4011133010231), we get a palindrome (5331236321335).

The spelling of 1320103311104 in words is "one trillion, three hundred twenty billion, one hundred three million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 128 137 256 274 548 1096 2192 2683 4384 5366 8768 10732 14029 17536 21464 28058 35072 42928 56116 85856 112232 171712 224464 343424 367571 448928 686848 735142 897856 1470284 1795712 1921973 2940568 3591424 3843946 5881136 7687892 11762272 15375784 23524544 30751568 37639807 47049088 61503136 75279614 94098176 123006272 150559228 246012544 301118456 492025088 602236912 1204473824 2408947648 4817895296 5156653559 9635790592 10313307118 20626614236 41253228472 82506456944 165012913888 330025827776 660051655552 1320103311104