Search a number
-
+
33120314132340 = 22352440722616677
BaseRepresentation
bin1111000011111011011001…
…00011110000011101110100
311100021021022122020012222210
413201331230203300131310
513320120400404213330
6154235132352053420
76655602155035401
oct741755443603564
9140237278205883
1033120314132340
11a60a278979156
12386ab32234270
131563303261a26
148270631db2a8
153c6806d748b0
hex1e1f6c8f0774

33120314132340 has 48 divisors (see below), whose sum is σ = 92740683272832. Its totient is φ = 8831721511296.

The previous prime is 33120314132329. The next prime is 33120314132371. The reversal of 33120314132340 is 4323141302133.

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 = 33120314132298 and 33120314132307.

It is a congruent number.

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, 9843919 + ... + 12772758.

It is an arithmetic number, because the mean of its divisors is an integer number (1932097568184).

Almost surely, 233120314132340 is an apocalyptic number.

33120314132340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33120314132340 is an abundant number, since it is smaller than the sum of its proper divisors (59620369140492).

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

33120314132340 is a wasteful number, since it uses less digits than its factorization.

33120314132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22641096 (or 22641094 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 33120314132340 its reverse (4323141302133), we get a palindrome (37443455434473).

The spelling of 33120314132340 in words is "thirty-three trillion, one hundred twenty billion, three hundred fourteen million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 24407 48814 73221 97628 122035 146442 244070 292884 366105 488140 732210 1464420 22616677 45233354 67850031 90466708 113083385 135700062 226166770 271400124 339250155 452333540 678500310 1357000620 552005235539 1104010471078 1656015706617 2208020942156 2760026177695 3312031413234 5520052355390 6624062826468 8280078533085 11040104710780 16560157066170 33120314132340