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10202103223 = 13171011912393
BaseRepresentation
bin10011000000001011…
…11011110110110111
3222100000001112121221
421200011323312313
5131343214300343
64404202251211
7510550306114
oct114005736667
928300045557
1010202103223
114365904174
121b887b6b07
13c6782cb90
146cad3190b
153ea9d05ed
hex26017bdb7

10202103223 has 32 divisors (see below), whose sum is σ = 11814792192. Its totient is φ = 8726016000.

The previous prime is 10202103209. The next prime is 10202103253. The reversal of 10202103223 is 32230120201.

10202103223 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10202103223 - 213 = 10202095031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202103197 and 10202103206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202103253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4262115 + ... + 4264507.

It is an arithmetic number, because the mean of its divisors is an integer number (369212256).

Almost surely, 210202103223 is an apocalyptic number.

10202103223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10202103223 is a deficient number, since it is larger than the sum of its proper divisors (1612688969).

10202103223 is a wasteful number, since it uses less digits than its factorization.

10202103223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10202103223 its reverse (32230120201), we get a palindrome (42432223424).

The spelling of 10202103223 in words is "ten billion, two hundred two million, one hundred three thousand, two hundred twenty-three".

Divisors: 1 13 17 101 191 221 1313 1717 2393 2483 3247 19291 22321 31109 40681 42211 241693 250783 327947 457063 528853 3142009 4108781 4263311 5941819 7770071 46163363 53414153 101010923 600123719 784777171 10202103223