Search a number
-
+
10134212424 = 2337123149003
BaseRepresentation
bin10010111000000101…
…11100111101001000
3222011021022022221220
421130002330331020
5131223324244144
64353335202040
7506064245550
oct113402747510
928137268856
1010134212424
114330553876
121b69b16320
13c5674c3cb
146c1cdc160
153e4a6e919
hex25c0bcf48

10134212424 has 64 divisors (see below), whose sum is σ = 28979005440. Its totient is φ = 2893078080.

The previous prime is 10134212393. The next prime is 10134212441. The reversal of 10134212424 is 42421243101.

It is a super-2 number, since 2×101342124242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10134212394 and 10134212403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182307 + ... + 231309.

It is an arithmetic number, because the mean of its divisors is an integer number (452796960).

Almost surely, 210134212424 is an apocalyptic number.

10134212424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10134212424 is an abundant number, since it is smaller than the sum of its proper divisors (18844793016).

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

10134212424 is a wasteful number, since it uses less digits than its factorization.

10134212424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50250 (or 50246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10134212424 its reverse (42421243101), we get a palindrome (52555455525).

The spelling of 10134212424 in words is "ten billion, one hundred thirty-four million, two hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1231 2462 3693 4924 7386 8617 9848 14772 17234 25851 29544 34468 49003 51702 68936 98006 103404 147009 196012 206808 294018 343021 392024 588036 686042 1029063 1176072 1372084 2058126 2744168 4116252 8232504 60322693 120645386 180968079 241290772 361936158 422258851 482581544 723872316 844517702 1266776553 1447744632 1689035404 2533553106 3378070808 5067106212 10134212424