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10024223430 = 23513167153911
BaseRepresentation
bin10010101010111110…
…11000001011000110
3221212121100022102110
421111133120023012
5131012200122210
64334405521450
7503260331124
oct112537301306
927777308373
1010024223430
11428445a481
121b39113286
13c39a1c070
146b146a914
153da095420
hex2557d82c6

10024223430 has 64 divisors (see below), whose sum is σ = 26064073728. Its totient is φ = 2452709760.

The previous prime is 10024223393. The next prime is 10024223441. The reversal of 10024223430 is 3432242001.

10024223430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10024223397 and 10024223406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11826 + ... + 142085.

It is an arithmetic number, because the mean of its divisors is an integer number (407251152).

Almost surely, 210024223430 is an apocalyptic number.

10024223430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024223430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13032036864).

10024223430 is an abundant number, since it is smaller than the sum of its proper divisors (16039850298).

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

10024223430 is a wasteful number, since it uses less digits than its factorization.

10024223430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154101.

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

Adding to 10024223430 its reverse (3432242001), we get a palindrome (13456465431).

The spelling of 10024223430 in words is "ten billion, twenty-four million, two hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 167 195 334 390 501 835 1002 1670 2171 2505 4342 5010 6513 10855 13026 21710 32565 65130 153911 307822 461733 769555 923466 1539110 2000843 2308665 4001686 4617330 6002529 10004215 12005058 20008430 25703137 30012645 51406274 60025290 77109411 128515685 154218822 257031370 334140781 385547055 668281562 771094110 1002422343 1670703905 2004844686 3341407810 5012111715 10024223430