Search a number
-
+
10423011024 = 2432473834021
BaseRepresentation
bin10011011010100001…
…01000011011010000
3222220101201211011100
421231100220123100
5132321242323044
64442133144400
7516202063146
oct115520503320
928811654140
1010423011024
1144695774a8
12202a78b100
13ca152785a
1470c3d7596
154100b9869
hex26d4286d0

10423011024 has 120 divisors (see below), whose sum is σ = 29875802112. Its totient is φ = 3390693120.

The previous prime is 10423011019. The next prime is 10423011041. The reversal of 10423011024 is 42011032401.

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

It is a junction number, because it is equal to n+sod(n) for n = 10423010988 and 10423011006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2590134 + ... + 2594154.

Almost surely, 210423011024 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 10423011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937901056).

10423011024 is an abundant number, since it is smaller than the sum of its proper divisors (19452791088).

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

10423011024 is a wasteful number, since it uses less digits than its factorization.

10423011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4465 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10423011024 its reverse (42011032401), we get a palindrome (52434043425).

The spelling of 10423011024 in words is "ten billion, four hundred twenty-three million, eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 383 423 564 752 766 846 1128 1149 1532 1692 2256 2298 3064 3384 3447 4021 4596 6128 6768 6894 8042 9192 12063 13788 16084 18001 18384 24126 27576 32168 36002 36189 48252 54003 55152 64336 72004 72378 96504 108006 144008 144756 162009 188987 193008 216012 288016 289512 324018 377974 432024 566961 579024 648036 755948 864048 1133922 1296072 1511896 1540043 1700883 2267844 2592144 3023792 3080086 3401766 4535688 4620129 6160172 6803532 9071376 9240258 12320344 13607064 13860387 18480516 24640688 27214128 27720774 36961032 55441548 72382021 73922064 110883096 144764042 217146063 221766192 289528084 434292126 579056168 651438189 868584252 1158112336 1302876378 1737168504 2605752756 3474337008 5211505512 10423011024