Search a number
-
+
124431112134 = 232741234110289
BaseRepresentation
bin111001111100010101…
…1000001011111000110
3102220011211002102121200
41303320223001133012
54014313331042014
6133055102323330
711663343000450
oct1637053013706
9386154072550
10124431112134
114885313426a
1220147889546
13b970221604
146045a3d2d0
153383ed7a09
hex1cf8ac17c6

124431112134 has 96 divisors (see below), whose sum is σ = 315795654720. Its totient is φ = 34666444800.

The previous prime is 124431112103. The next prime is 124431112153. The reversal of 124431112134 is 431211134421.

It is a happy number.

124431112134 is a `hidden beast` number, since 1 + 2 + 4 + 431 + 11 + 213 + 4 = 666.

124431112134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 124431112098 and 124431112107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12088462 + ... + 12098750.

It is an arithmetic number, because the mean of its divisors is an integer number (3289538070).

Almost surely, 2124431112134 is an apocalyptic number.

124431112134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 124431112134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157897827360).

124431112134 is an abundant number, since it is smaller than the sum of its proper divisors (191364542586).

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

124431112134 is a wasteful number, since it uses less digits than its factorization.

124431112134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12686 (or 12683 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 124431112134 its reverse (431211134421), we get a palindrome (555642246555).

The spelling of 124431112134 in words is "one hundred twenty-four billion, four hundred thirty-one million, one hundred twelve thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2341 2583 4682 5166 7023 10289 14046 16387 20578 21069 30867 32774 42138 49161 61734 72023 92601 95981 98322 144046 147483 185202 191962 216069 287943 294966 421849 432138 575886 648207 671867 843698 863829 1265547 1296414 1343734 1727658 2015601 2531094 2952943 3796641 4031202 5905886 6046803 7593282 8858829 12093606 17717658 24086549 26576487 48173098 53152974 72259647 144519294 168605843 216778941 337211686 433557882 505817529 987548509 1011635058 1517452587 1975097018 2962645527 3034905174 5925291054 6912839563 8887936581 13825679126 17775873162 20738518689 41477037378 62215556067 124431112134