Search a number
-
+
130101003032 = 237111318189759
BaseRepresentation
bin111100100101010011…
…1111100001100011000
3110102210221222201201212
41321022213330030120
54112421324044112
6135433444002252
712254011164560
oct1711247741430
9412727881655
10130101003032
11501a2696210
122126a690388
13c364aa9a40
146422a7bda0
1535b6b65522
hex1e4a9fc318

130101003032 has 128 divisors (see below), whose sum is σ = 329340211200. Its totient is φ = 46530547200.

The previous prime is 130101003001. The next prime is 130101003059. The reversal of 130101003032 is 230300101031.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 130101002998 and 130101003016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404569 + ... + 1494327.

It is an arithmetic number, because the mean of its divisors is an integer number (2572970400).

Almost surely, 2130101003032 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 130101003032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164670105600).

130101003032 is an abundant number, since it is smaller than the sum of its proper divisors (199239208168).

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

130101003032 is a wasteful number, since it uses less digits than its factorization.

130101003032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89977 (or 89973 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 130101003032 its reverse (230300101031), we get a palindrome (360401104063).

The spelling of 130101003032 in words is "one hundred thirty billion, one hundred one million, three thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 181 182 286 308 362 364 572 616 724 728 1001 1144 1267 1448 1991 2002 2353 2534 3982 4004 4706 5068 7964 8008 9412 10136 13937 15928 16471 18824 25883 27874 32942 51766 55748 65884 89759 103532 111496 131768 179518 181181 207064 359036 362362 628313 718072 724724 987349 1166867 1256626 1449448 1974698 2333734 2513252 3949396 4667468 5026504 6911443 7898792 8168069 9334936 12835537 13822886 16246379 16336138 25671074 27645772 32492758 32672276 51342148 55291544 64985516 65344552 89848759 102684296 113724653 129971032 178710169 179697518 211202927 227449306 357420338 359395036 422405854 454898612 714840676 718790072 844811708 909797224 1250971183 1429681352 1478420489 1689623416 2323232197 2501942366 2956840978 4646464394 5003884732 5913681956 9292928788 10007769464 11827363912 16262625379 18585857576 32525250758 65050501516 130101003032