Search a number
-
+
1330312011300 = 2232522992749391
BaseRepresentation
bin10011010110111100110…
…001100101111000100100
311201011202201202011122100
4103112330301211320210
5133243434333330200
62455045323132100
7165053241344226
oct23267461457044
94634681664570
101330312011300
114732004a39a8
121959a6974030
13985a90044bc
144855d212416
1524910131d00
hex135bcc65e24

1330312011300 has 108 divisors (see below), whose sum is σ = 4170012852096. Its totient is φ = 354730833600.

The previous prime is 1330312011299. The next prime is 1330312011311. The reversal of 1330312011300 is 31102130331.

It is a happy number.

1330312011300 is a `hidden beast` number, since 1 + 330 + 3 + 1 + 20 + 11 + 300 = 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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26909605 + ... + 26958995.

It is an arithmetic number, because the mean of its divisors is an integer number (38611230112).

Almost surely, 21330312011300 is an apocalyptic number.

1330312011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1330312011300 is an abundant number, since it is smaller than the sum of its proper divisors (2839700840796).

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

1330312011300 is a wasteful number, since it uses less digits than its factorization.

1330312011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79338 (or 79328 counting only the distinct ones).

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

Adding to 1330312011300 its reverse (31102130331), we get a palindrome (1361414141631).

The spelling of 1330312011300 in words is "one trillion, three hundred thirty billion, three hundred twelve million, eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 29927 49391 59854 89781 98782 119708 148173 149635 179562 197564 246955 269343 296346 299270 359124 444519 448905 493910 538686 592692 598540 740865 748175 889038 897810 987820 1077372 1234775 1346715 1481730 1496350 1778076 1795620 2222595 2244525 2469550 2693430 2963460 2992700 3704325 4445190 4489050 4939100 5386860 6733575 7408650 8890380 8978100 11112975 13467150 14817300 22225950 26934300 44451900 1478124457 2956248914 4434373371 5912497828 7390622285 8868746742 13303120113 14781244570 17737493484 22171866855 26606240226 29562489140 36953111425 44343733710 53212480452 66515600565 73906222850 88687467420 110859334275 133031201130 147812445700 221718668550 266062402260 332578002825 443437337100 665156005650 1330312011300