Search a number
-
+
10012302203321 = 11219127211316229
BaseRepresentation
bin1001000110110010101110…
…1101110101100110111001
31022110011111112222221012102
42101230223231311212321
52303020143331001241
633143331011553145
72052236116345265
oct221545355654671
938404445887172
1010012302203321
113210214634500
12115854b8bb7b5
13578204aac982
14268852d350a5
15125699eaa39b
hex91b2bb759b9

10012302203321 has 48 divisors (see below), whose sum is σ = 11681943705600. Its totient is φ = 8550561761280.

The previous prime is 10012302203311. The next prime is 10012302203333. The reversal of 10012302203321 is 12330220321001.

It is not a de Polignac number, because 10012302203321 - 26 = 10012302203257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10012302203293 and 10012302203302.

It is not an unprimeable number, because it can be changed into a prime (10012302203311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616930835 + ... + 616947063.

It is an arithmetic number, because the mean of its divisors is an integer number (243373827200).

Almost surely, 210012302203321 is an apocalyptic number.

10012302203321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10012302203321 is a deficient number, since it is larger than the sum of its proper divisors (1669641502279).

10012302203321 is a wasteful number, since it uses less digits than its factorization.

10012302203321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18510 (or 18499 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10012302203321 its reverse (12330220321001), we get a palindrome (22342522524322).

The spelling of 10012302203321 in words is "ten trillion, twelve billion, three hundred two million, two hundred three thousand, three hundred twenty-one".

Divisors: 1 11 19 121 127 209 1397 2113 2299 2413 15367 16229 23243 26543 40147 178519 255673 268351 291973 308351 441617 1963709 2061083 2951861 3391861 4857787 5098669 22671913 32470471 34291877 37310471 39160577 56085359 249391043 377210647 430766347 616938949 651545663 4149317117 4355068379 4738429817 7167002293 47905752169 78837025223 82746299201 526963273859 910209291211 10012302203321