Search a number
-
+
10203310314 = 234502312539
BaseRepresentation
bin10011000000010101…
…00010100011101010
3222100002022212110000
421200022202203222
5131344021412224
64404244203430
7510563464251
oct114012424352
928302285400
1010203310314
11436655906a
121b89099576
13c67b63432
146cb167798
153eab6d0c9
hex2602a28ea

10203310314 has 40 divisors (see below), whose sum is σ = 22869348480. Its totient is φ = 3400155144.

The previous prime is 10203310309. The next prime is 10203310319. The reversal of 10203310314 is 41301330201.

10203310314 is a `hidden beast` number, since 1 + 0 + 20 + 331 + 0 + 314 = 666.

It is an interprime number because it is at equal distance from previous prime (10203310309) and next prime (10203310319).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10203310319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 807457 + ... + 819995.

It is an arithmetic number, because the mean of its divisors is an integer number (571733712).

Almost surely, 210203310314 is an apocalyptic number.

10203310314 is an abundant number, since it is smaller than the sum of its proper divisors (12666038166).

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

10203310314 is a wasteful number, since it uses less digits than its factorization.

10203310314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17576 (or 17567 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10203310314 its reverse (41301330201), we get a palindrome (51504640515).

The spelling of 10203310314 in words is "ten billion, two hundred three million, three hundred ten thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 5023 10046 12539 15069 25078 30138 37617 45207 75234 90414 112851 135621 225702 271242 338553 406863 677106 813726 1015659 2031318 62983397 125966794 188950191 377900382 566850573 1133701146 1700551719 3401103438 5101655157 10203310314