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130313023202000 = 2453250326031367
BaseRepresentation
bin11101101000010011011101…
…011101010010001011010000
3122002101210200122101112010202
4131220103131131102023100
5114040022032414431000
61141052550523314332
736306543124055102
oct3550233535221320
9562353618345122
10130313023202000
1138581496386991
121274765397b9a8
13579360851a482
142427280b89572
15100eb1a23ddd5
hex7684dd7522d0

130313023202000 has 80 divisors (see below), whose sum is σ = 315222789902592. Its totient is φ = 52104382185600.

The previous prime is 130313023201987. The next prime is 130313023202101. The reversal of 130313023202000 is 202320313031.

130313023202000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8009684 + ... + 18021683.

Almost surely, 2130313023202000 is an apocalyptic number.

130313023202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130313023202000 is an abundant number, since it is smaller than the sum of its proper divisors (184909766700592).

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

130313023202000 is a wasteful number, since it uses less digits than its factorization.

130313023202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26033893 (or 26033877 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 130313023202000 its reverse (202320313031), we get a palindrome (130515343515031).

The spelling of 130313023202000 in words is "one hundred thirty trillion, three hundred thirteen billion, twenty-three million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2503 5006 10012 12515 20024 25030 40048 50060 62575 100120 125150 200240 250300 312875 500600 625750 1001200 1251500 2503000 5006000 26031367 52062734 104125468 130156835 208250936 260313670 416501872 520627340 650784175 1041254680 1301568350 2082509360 2603136700 3253920875 5206273400 6507841750 10412546800 13015683500 26031367000 52062734000 65156511601 130313023202 260626046404 325782558005 521252092808 651565116010 1042504185616 1303130232020 1628912790025 2606260464040 3257825580050 5212520928080 6515651160100 8144563950125 13031302320200 16289127900250 26062604640400 32578255800500 65156511601000 130313023202000