Search a number
-
+
130060751532 = 223234153216859
BaseRepresentation
bin111100100100000111…
…0011001001010101100
3110102201011020202001120
41321020032121022230
54112331023022112
6135425445140540
712253012101345
oct1711016311254
9412634222046
10130060751532
11501819a3708
12212590ba750
13c35965589a
14641b5a10cc
1535b3363e8c
hex1e483992ac

130060751532 has 96 divisors (see below), whose sum is σ = 330515458560. Its totient is φ = 39693688320.

The previous prime is 130060751461. The next prime is 130060751593. The reversal of 130060751532 is 235157060031.

It is a junction number, because it is equal to n+sod(n) for n = 130060751493 and 130060751502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491319 + ... + 708177.

It is an arithmetic number, because the mean of its divisors is an integer number (3442869360).

Almost surely, 2130060751532 is an apocalyptic number.

130060751532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130060751532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165257729280).

130060751532 is an abundant number, since it is smaller than the sum of its proper divisors (200454707028).

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

130060751532 is a wasteful number, since it uses less digits than its factorization.

130060751532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216983 (or 216981 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The spelling of 130060751532 in words is "one hundred thirty billion, sixty million, seven hundred fifty-one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 41 46 53 69 82 92 106 123 138 159 164 212 246 276 318 492 636 943 1219 1886 2173 2438 2829 3657 3772 4346 4876 5658 6519 7314 8692 11316 13038 14628 26076 49979 99958 149937 199916 216859 299874 433718 599748 650577 867436 1301154 2602308 4987757 8891219 9975514 11493527 14963271 17782438 19951028 22987054 26673657 29926542 34480581 35564876 45974108 53347314 59853084 68961162 106694628 137922324 204498037 264351121 408996074 471234607 528702242 613494111 793053363 817992148 942469214 1057404484 1226988222 1413703821 1586106726 1884938428 2453976444 2827407642 3172213452 5654815284 10838395961 21676791922 32515187883 43353583844 65030375766 130060751532