Search a number
-
+
10024403430 = 2351719655693
BaseRepresentation
bin10010101011000000…
…00100000111100110
3221212121200110100010
421111200010013212
5131012221402210
64334413431050
7503262010656
oct112540040746
927777613303
1010024403430
114284572738
121b3919b486
13c39a82c82
146b14b6366
153da0cd920
hex2558041e6

10024403430 has 32 divisors (see below), whose sum is σ = 25473779424. Its totient is φ = 2515928576.

The previous prime is 10024403429. The next prime is 10024403489. The reversal of 10024403430 is 3430442001.

It is a junction number, because it is equal to n+sod(n) for n = 10024403397 and 10024403406.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9827337 + ... + 9828356.

It is an arithmetic number, because the mean of its divisors is an integer number (796055607).

Almost surely, 210024403430 is an apocalyptic number.

10024403430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10024403430 is an abundant number, since it is smaller than the sum of its proper divisors (15449375994).

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

10024403430 is a wasteful number, since it uses less digits than its factorization.

10024403430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19655720.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 10024403430 its reverse (3430442001), we get a palindrome (13454845431).

The spelling of 10024403430 in words is "ten billion, twenty-four million, four hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 510 19655693 39311386 58967079 98278465 117934158 196556930 294835395 334146781 589670790 668293562 1002440343 1670733905 2004880686 3341467810 5012201715 10024403430