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10314213112305 = 325475921400947
BaseRepresentation
bin1001011000010111011100…
…0000100011100111110001
31100112000210020122012021100
42112011313000203213301
52322442002024043210
633534141210315013
72113114546624104
oct226056700434761
940460706565240
1010314213112305
113317262457a23
1211a6b69128a69
1359a81a79164b
142792d3b8073b
1512d46a2ce5c0
hex961770239f1

10314213112305 has 72 divisors (see below), whose sum is σ = 18573073713792. Its totient is φ = 5292617082048.

The previous prime is 10314213112163. The next prime is 10314213112327. The reversal of 10314213112305 is 50321131241301.

10314213112305 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 42 + 1 + 311 + 2 + 305 = 666.

It is not a de Polignac number, because 10314213112305 - 222 = 10314208918001 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6661842 + ... + 8062788.

It is an arithmetic number, because the mean of its divisors is an integer number (257959357136).

Almost surely, 210314213112305 is an apocalyptic number.

10314213112305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10314213112305 is a deficient number, since it is larger than the sum of its proper divisors (8258860601487).

10314213112305 is a wasteful number, since it uses less digits than its factorization.

10314213112305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401123 (or 1401061 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 10314213112305 its reverse (50321131241301), we get a palindrome (60635344353606).

The spelling of 10314213112305 in words is "ten trillion, three hundred fourteen billion, two hundred thirteen million, one hundred twelve thousand, three hundred five".

Divisors: 1 3 5 9 15 45 47 59 141 177 235 295 423 531 705 885 2115 2655 2773 3481 8319 10443 13865 17405 24957 31329 41595 52215 124785 156645 163607 490821 818035 1400947 1472463 2454105 4202841 7004735 7362315 12608523 21014205 63042615 65844509 82655873 197533527 247967619 329222545 413279365 592600581 743902857 987667635 1239838095 2963002905 3719514285 3884826031 4876696507 11654478093 14630089521 19424130155 24383482535 34963434279 43890268563 58272390465 73150447605 174817171395 219451342815 229204735829 687614207487 1146023679145 2062842622461 3438071037435 10314213112305