Search a number
-
+
125230134440130 = 23541433896086753
BaseRepresentation
bin11100011110010101101001…
…101011011011000011000010
3121102101212212101110000102020
4130132111221223123003002
5112403232303404041010
61122201532441102310
735243402321335026
oct3436255153330302
9542355771400366
10125230134440130
11369a189016a845
1212066532787996
1354b51c69b6965
1422cd256b3a386
15e727cab2e470
hex71e569adb0c2

125230134440130 has 128 divisors (see below), whose sum is σ = 315852864687360. Its totient is φ = 31740707389440.

The previous prime is 125230134440113. The next prime is 125230134440153. The reversal of 125230134440130 is 31044431032521.

It is a junction number, because it is equal to n+sod(n) for n = 125230134440091 and 125230134440100.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17530834 + ... + 23617586.

It is an arithmetic number, because the mean of its divisors is an integer number (2467600505370).

Almost surely, 2125230134440130 is an apocalyptic number.

125230134440130 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 125230134440130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157926432343680).

125230134440130 is an abundant number, since it is smaller than the sum of its proper divisors (190622730247230).

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

125230134440130 is a wasteful number, since it uses less digits than its factorization.

125230134440130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6087236.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 125230134440130 its reverse (31044431032521), we get a palindrome (156274565472651).

The spelling of 125230134440130 in words is "one hundred twenty-five trillion, two hundred thirty billion, one hundred thirty-four million, four hundred forty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 43 82 86 123 129 205 215 246 258 389 410 430 615 645 778 1167 1230 1290 1763 1945 2334 3526 3890 5289 5835 8815 10578 11670 15949 16727 17630 26445 31898 33454 47847 50181 52890 79745 83635 95694 100362 159490 167270 239235 250905 478470 501810 685807 1371614 2057421 3429035 4114842 6086753 6858070 10287105 12173506 18260259 20574210 30433765 36520518 60867530 91301295 182602590 249556873 261730379 499113746 523460758 748670619 785191137 1247784365 1308651895 1497341238 1570382274 2367746917 2495568730 2617303790 3743353095 3925955685 4735493834 7103240751 7486706190 7851911370 10730945539 11838734585 14206481502 21461891078 23677469170 32192836617 35516203755 53654727695 64385673234 71032407510 97077623597 101813117431 107309455390 160964183085 194155247194 203626234862 291232870791 305439352293 321928366170 485388117985 509065587155 582465741582 610878704586 970776235970 1018131174310 1456164353955 1527196761465 2912328707910 3054393522930 4174337814671 8348675629342 12523013444013 20871689073355 25046026888026 41743378146710 62615067220065 125230134440130