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1330340210320 = 2451113910875901
BaseRepresentation
bin10011010110111110011…
…101001010011010010000
311201011211200210211102111
4103112332131022122100
5133244014043212240
62455052211355104
7165054033132142
oct23267635123220
94634750724374
101330340210320
11473215404280
121959b42b2a94
13985b1ac8804
1448562c72c92
15249128521ea
hex135be74a690

1330340210320 has 80 divisors (see below), whose sum is σ = 3398501856960. Its totient is φ = 480279744000.

The previous prime is 1330340210317. The next prime is 1330340210341. The reversal of 1330340210320 is 230120430331.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1330340210291 and 1330340210300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5315631 + ... + 5560270.

It is an arithmetic number, because the mean of its divisors is an integer number (42481273212).

Almost surely, 21330340210320 is an apocalyptic number.

1330340210320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330340210320 is an abundant number, since it is smaller than the sum of its proper divisors (2068161646640).

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

1330340210320 is a wasteful number, since it uses less digits than its factorization.

1330340210320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876064 (or 10876058 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 1330340210320 its reverse (230120430331), we get a palindrome (1560460640651).

The spelling of 1330340210320 in words is "one trillion, three hundred thirty billion, three hundred forty million, two hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 139 176 220 278 440 556 695 880 1112 1390 1529 2224 2780 3058 5560 6116 7645 11120 12232 15290 24464 30580 61160 122320 10875901 21751802 43503604 54379505 87007208 108759010 119634911 174014416 217518020 239269822 435036040 478539644 598174555 870072080 957079288 1196349110 1511750239 1914158576 2392698220 3023500478 4785396440 6047000956 7558751195 9570792880 12094001912 15117502390 16629252629 24188003824 30235004780 33258505258 60470009560 66517010516 83146263145 120940019120 133034021032 166292526290 266068042064 332585052580 665170105160 1330340210320