Search a number
-
+
10424141124 = 22317538291163
BaseRepresentation
bin10011011010101001…
…11100010101000100
3222220110212020100220
421231110330111010
5132322040003444
64442213304340
7516214510665
oct115524742504
928813766326
1010424141124
11446a179571
12202b0350b0
13ca1832057
1470c60d36c
1541023e619
hex26d53c544

10424141124 has 96 divisors (see below), whose sum is σ = 26293921920. Its totient is φ = 3201988608.

The previous prime is 10424141111. The next prime is 10424141149. The reversal of 10424141124 is 42114142401.

It is a junction number, because it is equal to n+sod(n) for n = 10424141094 and 10424141103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8962567 + ... + 8963729.

It is an arithmetic number, because the mean of its divisors is an integer number (273895020).

Almost surely, 210424141124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10424141124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13146960960).

10424141124 is an abundant number, since it is smaller than the sum of its proper divisors (15869780796).

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

10424141124 is a wasteful number, since it uses less digits than its factorization.

10424141124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2067 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 10424141124 its reverse (42114142401), we get a palindrome (52538283525).

The spelling of 10424141124 in words is "ten billion, four hundred twenty-four million, one hundred forty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 318 636 829 901 1163 1658 1802 2326 2487 2703 3316 3489 3604 4652 4974 5406 6978 9948 10812 13956 14093 19771 28186 39542 42279 43937 56372 59313 61639 79084 84558 87874 118626 123278 131811 169116 175748 184917 237252 246556 263622 369834 527244 739668 746929 964127 1047863 1493858 1928254 2095726 2240787 2892381 2987716 3143589 3856508 4191452 4481574 5784762 6287178 8963148 11569524 12574356 16390159 32780318 49170477 51098731 65560636 98340954 102197462 153296193 196681908 204394924 306592386 613184772 868678427 1737356854 2606035281 3474713708 5212070562 10424141124