Search a number
-
+
1330105066140 = 2235671632029889
BaseRepresentation
bin10011010110110000011…
…100001010001010011100
311201011020022100021020210
4103112300130022022130
5133243023344104030
62455013011412420
7165045146342454
oct23266034121234
94634208307223
101330105066140
114731046a7a44
121959495b4110
1398575187c46
144853d942d64
15248ebda4bb0
hex135b070a29c

1330105066140 has 96 divisors (see below), whose sum is σ = 3803071991040. Its totient is φ = 347256999936.

The previous prime is 1330105066133. The next prime is 1330105066217. The reversal of 1330105066140 is 416605010331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1330105066098 and 1330105066107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 359685 + ... + 1670204.

It is an arithmetic number, because the mean of its divisors is an integer number (39615333240).

Almost surely, 21330105066140 is an apocalyptic number.

1330105066140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330105066140 is an abundant number, since it is smaller than the sum of its proper divisors (2472966924900).

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

1330105066140 is a wasteful number, since it uses less digits than its factorization.

1330105066140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030131 (or 2030129 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 1330105066140 in words is "one trillion, three hundred thirty billion, one hundred five million, sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 163 201 268 326 335 402 489 652 670 804 815 978 1005 1340 1630 1956 2010 2445 3260 4020 4890 9780 10921 21842 32763 43684 54605 65526 109210 131052 163815 218420 327630 655260 2029889 4059778 6089667 8119556 10149445 12179334 20298890 24358668 30448335 40597780 60896670 121793340 136002563 272005126 330871907 408007689 544010252 661743814 680012815 816015378 992615721 1323487628 1360025630 1632030756 1654359535 1985231442 2040038445 2720051260 3308719070 3970462884 4080076890 4963078605 6617438140 8160153780 9926157210 19852314420 22168417769 44336835538 66505253307 88673671076 110842088845 133010506614 221684177690 266021013228 332526266535 443368355380 665052533070 1330105066140