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1331003200304 = 241979103538073
BaseRepresentation
bin10011010111100101111…
…110010001001100110000
311201020112220100012201002
4103113211332101030300
5133301343304402204
62455242053501132
7165106333350431
oct23274576211460
94636486305632
101331003200304
11473525675488
12195b5a3417a8
139868927a28b
14485c6d35488
1524950b6391e
hex135e5f91330

1331003200304 has 80 divisors (see below), whose sum is σ = 2775600921600. Its totient is φ = 616449719808.

The previous prime is 1331003200301. The next prime is 1331003200333. The reversal of 1331003200304 is 4030023001331.

It is not an unprimeable number, because it can be changed into a prime (1331003200301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2204612 + ... + 2742684.

It is an arithmetic number, because the mean of its divisors is an integer number (34695011520).

Almost surely, 21331003200304 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 1331003200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387800460800).

1331003200304 is an abundant number, since it is smaller than the sum of its proper divisors (1444597721296).

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

1331003200304 is a wasteful number, since it uses less digits than its factorization.

1331003200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538282 (or 538276 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 1331003200304 its reverse (4030023001331), we get a palindrome (5361026201635).

The spelling of 1331003200304 in words is "one trillion, three hundred thirty-one billion, three million, two hundred thousand, three hundred four".

Divisors: 1 2 4 8 16 19 38 76 79 103 152 158 206 304 316 412 632 824 1264 1501 1648 1957 3002 3914 6004 7828 8137 12008 15656 16274 24016 31312 32548 65096 130192 154603 309206 538073 618412 1076146 1236824 2152292 2473648 4304584 8609168 10223387 20446774 40893548 42507767 55421519 81787096 85015534 110843038 163574192 170031068 221686076 340062136 443372152 680124272 807647573 886744304 1053008861 1615295146 2106017722 3230590292 4212035444 4378300001 6461180584 8424070888 8756600002 12922361168 16848141776 17513200004 35026400008 70052800016 83187700019 166375400038 332750800076 665501600152 1331003200304