Search a number
-
+
1320330010120 = 235115531542533
BaseRepresentation
bin10011001101101001110…
…011010001111000001000
311200020000001211222020221
4103031221303101320020
5133113013440310440
62450315022155424
7164251002625042
oct23155163217010
94606001758227
101320330010120
11469a48962750
12193a7ba22b74
1397677c79624
1447c93616a92
1524528b2bd4a
hex13369cd1e08

1320330010120 has 64 divisors (see below), whose sum is σ = 3241401935040. Its totient is φ = 480032313600.

The previous prime is 1320330010063. The next prime is 1320330010127. The reversal of 1320330010120 is 210100330231.

It is a junction number, because it is equal to n+sod(n) for n = 1320330010094 and 1320330010103.

It is not an unprimeable number, because it can be changed into a prime (1320330010127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2162374 + ... + 2704906.

It is an arithmetic number, because the mean of its divisors is an integer number (50646905235).

Almost surely, 21320330010120 is an apocalyptic number.

1320330010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1320330010120 is an abundant number, since it is smaller than the sum of its proper divisors (1921071924920).

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

1320330010120 is a wasteful number, since it uses less digits than its factorization.

1320330010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548086 (or 548082 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1320330010120 its reverse (210100330231), we get a palindrome (1530430340351).

The spelling of 1320330010120 in words is "one trillion, three hundred twenty billion, three hundred thirty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 5531 11062 22124 27655 44248 55310 60841 110620 121682 221240 243364 304205 486728 542533 608410 1085066 1216820 2170132 2433640 2712665 4340264 5425330 5967863 10850660 11935726 21701320 23871452 29839315 47742904 59678630 119357260 238714520 3000750023 6001500046 12003000092 15003750115 24006000184 30007500230 33008250253 60015000460 66016500506 120030000920 132033001012 165041251265 264066002024 330082502530 660165005060 1320330010120