Search a number
-
+
1103330234304 = 26331373465041
BaseRepresentation
bin10000000011100011100…
…110110100111111000000
310220110212222111012101000
4100003203212310333000
5121034110014444204
62202510220012000
7142466360152314
oct20034346647700
93813788435330
101103330234304
11395a13176351
121599bb091000
1380074a1510c
143b5898b3b44
151da78027039
hex100e39b4fc0

1103330234304 has 112 divisors (see below), whose sum is σ = 3245955956640. Its totient is φ = 367508090880.

The previous prime is 1103330234291. The next prime is 1103330234329. The reversal of 1103330234304 is 4034320333011.

1103330234304 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 330 + 23 + 4 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 2140024 + ... + 2605064.

Almost surely, 21103330234304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103330234304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622977978320).

1103330234304 is an abundant number, since it is smaller than the sum of its proper divisors (2142625722336).

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

1103330234304 is a wasteful number, since it uses less digits than its factorization.

1103330234304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466435 (or 466419 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 1103330234304 its reverse (4034320333011), we get a palindrome (5137650567315).

The spelling of 1103330234304 in words is "one trillion, one hundred three billion, three hundred thirty million, two hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1373 1728 2746 4119 5492 8238 10984 12357 16476 21968 24714 32952 37071 43936 49428 65904 74142 87872 98856 131808 148284 197712 263616 296568 395424 465041 593136 790848 930082 1186272 1395123 1860164 2372544 2790246 3720328 4185369 5580492 7440656 8370738 11160984 12556107 14881312 16741476 22321968 25112214 29762624 33482952 44643936 50224428 66965904 89287872 100448856 133931808 200897712 267863616 401795424 638501293 803590848 1277002586 1915503879 2554005172 3831007758 5108010344 5746511637 7662015516 10216020688 11493023274 15324031032 17239534911 20432041376 22986046548 30648062064 34479069822 40864082752 45972093096 61296124128 68958139644 91944186192 122592248256 137916279288 183888372384 275832558576 367776744768 551665117152 1103330234304