Search a number
-
+
10030017285 = 3252913756101
BaseRepresentation
bin10010101011101010…
…11110101100000101
3221220000020200002200
421111311132230011
5131020141023120
64335134025113
7503360511621
oct112565365405
927800220080
1010030017285
114287757492
121b3b048199
13c3ac9a292
146b2138181
153da83be90
hex255d5eb05

10030017285 has 48 divisors (see below), whose sum is σ = 18116457840. Its totient is φ = 5127091200.

The previous prime is 10030017241. The next prime is 10030017311. The reversal of 10030017285 is 58271003001.

It can be written as a sum of positive squares in 8 ways, for example, as 36216324 + 9993800961 = 6018^2 + 99969^2 .

It is not a de Polignac number, because 10030017285 - 27 = 10030017157 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150735 + ... + 206835.

It is an arithmetic number, because the mean of its divisors is an integer number (377426205).

Almost surely, 210030017285 is an apocalyptic number.

10030017285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10030017285 is a deficient number, since it is larger than the sum of its proper divisors (8086440555).

10030017285 is a wasteful number, since it uses less digits than its factorization.

10030017285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56278 (or 56275 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10030017285 in words is "ten billion, thirty million, seventeen thousand, two hundred eighty-five".

Divisors: 1 3 5 9 15 29 45 87 137 145 261 411 435 685 1233 1305 2055 3973 6165 11919 19865 35757 56101 59595 168303 178785 280505 504909 841515 1626929 2524545 4880787 7685837 8134645 14642361 23057511 24403935 38429185 69172533 73211805 115287555 222889273 345862665 668667819 1114446365 2006003457 3343339095 10030017285