Search a number
-
+
1330110323010 = 2325712716624301
BaseRepresentation
bin10011010110110000110…
…000001101100101000010
311201011020200020100022200
4103112300300031211002
5133243031220314020
62455013320214030
7165045242125560
oct23266060154502
94634220210280
101330110323010
11473107668567
1219594b30a316
13985762a8911
1448540510a30
15248ec592590
hex135b0c0d942

1330110323010 has 96 divisors (see below), whose sum is σ = 3983448748032. Its totient is φ = 301631299200.

The previous prime is 1330110322963. The next prime is 1330110323051. The reversal of 1330110323010 is 103230110331.

It is a happy number.

1330110323010 is a `hidden beast` number, since 1 + 330 + 1 + 1 + 0 + 32 + 301 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8232141 + ... + 8392160.

It is an arithmetic number, because the mean of its divisors is an integer number (41494257792).

Almost surely, 21330110323010 is an apocalyptic number.

1330110323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1330110323010 is an abundant number, since it is smaller than the sum of its proper divisors (2653338425022).

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

1330110323010 is a wasteful number, since it uses less digits than its factorization.

1330110323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16624448 (or 16624445 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1330110323010 its reverse (103230110331), we get a palindrome (1433340433341).

The spelling of 1330110323010 in words is "one trillion, three hundred thirty billion, one hundred ten million, three hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 127 210 254 315 381 630 635 762 889 1143 1270 1778 1905 2286 2667 3810 4445 5334 5715 8001 8890 11430 13335 16002 26670 40005 80010 16624301 33248602 49872903 83121505 99745806 116370107 149618709 166243010 232740214 249364515 299237418 349110321 498729030 581850535 698220642 748093545 1047330963 1163701070 1496187090 1745551605 2094661926 2111286227 3491103210 4222572454 5236654815 6333858681 10473309630 10556431135 12667717362 14779003589 19001576043 21112862270 29558007178 31669293405 38003152086 44337010767 63338586810 73895017945 88674021534 95007880215 133011032301 147790035890 190015760430 221685053835 266022064602 443370107670 665055161505 1330110323010