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1034404300223 = 73731354723327
BaseRepresentation
bin11110000110101110100…
…11010000010110111111
310122212222102011221221122
433003113103100112333
5113421430000101343
62111110534021155
7134506334323220
oct17032723202677
93585872157848
101034404300223
11369763295968
12148583aa77bb
137670bc6b038
14380cb7a9247
151bd91d78068
hexf0d74d05bf

1034404300223 has 32 divisors (see below), whose sum is σ = 1220285067264. Its totient is φ = 858304242432.

The previous prime is 1034404300217. The next prime is 1034404300247. The reversal of 1034404300223 is 3220034044301.

It is not a de Polignac number, because 1034404300223 - 214 = 1034404283839 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1034404300192 and 1034404300201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034404300823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44331986 + ... + 44355312.

It is an arithmetic number, because the mean of its divisors is an integer number (38133908352).

Almost surely, 21034404300223 is an apocalyptic number.

1034404300223 is a deficient number, since it is larger than the sum of its proper divisors (185880767041).

1034404300223 is a wasteful number, since it uses less digits than its factorization.

1034404300223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24231.

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 1034404300223 its reverse (3220034044301), we get a palindrome (4254438344524).

The spelling of 1034404300223 in words is "one trillion, thirty-four billion, four hundred four million, three hundred thousand, two hundred twenty-three".

Divisors: 1 7 37 259 313 547 2191 3829 11581 20239 23327 81067 141673 163289 171211 863099 1198477 6041693 6334807 7301351 12759869 44343649 51109457 89319083 270149987 472115153 1891049909 3304806071 3993838997 27956872979 147772042889 1034404300223