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130213030032232 = 23721768712843803
BaseRepresentation
bin11101100110110110010101…
…011001100111001101101000
3122002001020120221121012012121
4131212312111121213031220
5114031402241142012412
61140535012402521024
736266403162124600
oct3546662531471550
9562036527535177
10130213030032232
1138543043896504
12127301a8366174
13578706125c8b4
1424224b69c5c00
15100c216903107
hex766d95667368

130213030032232 has 96 divisors (see below), whose sum is σ = 300760938544320. Its totient is φ = 52515240261120.

The previous prime is 130213030032227. The next prime is 130213030032247. The reversal of 130213030032232 is 232230030312031.

It is a junction number, because it is equal to n+sod(n) for n = 130213030032197 and 130213030032206.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44366443 + ... + 47210245.

It is an arithmetic number, because the mean of its divisors is an integer number (3132926443170).

Almost surely, 2130213030032232 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 130213030032232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150380469272160).

130213030032232 is an abundant number, since it is smaller than the sum of its proper divisors (170547908512088).

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

130213030032232 is a wasteful number, since it uses less digits than its factorization.

130213030032232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850711 (or 2850700 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 130213030032232 its reverse (232230030312031), we get a palindrome (362443060344263).

The spelling of 130213030032232 in words is "one hundred thirty trillion, two hundred thirteen billion, thirty million, thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 196 238 392 476 833 952 1666 3332 6664 6871 13742 27484 48097 54968 96194 116807 192388 233614 336679 384776 467228 673358 817649 934456 1346716 1635298 2693432 2843803 3270596 5687606 5723543 6541192 11375212 11447086 19906621 22750424 22894172 39813242 45788344 48344651 79626484 96689302 139346347 159252968 193378604 278692694 338412557 386757208 557385388 676825114 1114770776 1353650228 2368887899 2707300456 4737775798 9475551596 18951103192 19539770413 39079540826 78159081652 136778392891 156318163304 273556785782 332176097021 547113571564 664352194042 957448750237 1094227143128 1328704388084 1914897500474 2325232679147 2657408776168 3829795000948 4650465358294 7659590001896 9300930716588 16276628754029 18601861433176 32553257508058 65106515016116 130213030032232