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201130102323020 = 225135879771348873
BaseRepresentation
bin101101101110110101000000…
…010011010111011101001100
3222101010211221122112021110202
4231232311000103113131030
5202330303422143314040
61551433520552153032
760236112301466663
oct5556650023273514
9871124848467422
10201130102323020
11590a4885346152
121a684440398778
13882c6446a71c0
143794a6ad6ddda
15183bcc762c015
hexb6ed404d774c

201130102323020 has 96 divisors (see below), whose sum is σ = 456105060226368. Its totient is φ = 74060971794432.

The previous prime is 201130102322951. The next prime is 201130102323023. The reversal of 201130102323020 is 20323201031102.

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

It is a junction number, because it is equal to n+sod(n) for n = 201130102322983 and 201130102323001.

It is not an unprimeable number, because it can be changed into a prime (201130102323023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148435304 + ... + 149784176.

It is an arithmetic number, because the mean of its divisors is an integer number (4751094377358).

Almost surely, 2201130102323020 is an apocalyptic number.

201130102323020 is a gapful number since it is divisible by the number (20) 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 201130102323020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228052530113184).

201130102323020 is an abundant number, since it is smaller than the sum of its proper divisors (254974957903348).

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

201130102323020 is a wasteful number, since it uses less digits than its factorization.

201130102323020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350459 (or 1350457 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 201130102323020 its reverse (20323201031102), we get a palindrome (221453303354122).

The spelling of 201130102323020 in words is "two hundred one trillion, one hundred thirty billion, one hundred two million, three hundred twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 587 977 1174 1954 2348 2935 3908 4885 5870 7631 9770 11740 12701 15262 19540 25402 30524 38155 50804 63505 76310 127010 152620 254020 573499 1146998 1348873 2293996 2697746 2867495 5395492 5734990 6744365 7455487 11469980 13488730 14910974 17535349 26977460 29821948 35070698 37277435 70141396 74554870 87676745 149109740 175353490 350706980 791788451 1317848921 1583576902 2635697842 3167153804 3958942255 5271395684 6589244605 7917884510 10293249863 13178489210 15835769020 17132035973 20586499726 26356978420 34264071946 41172999452 51466249315 68528143892 85660179865 102932498630 171320359730 205864997260 342640719460 773577316627 1547154633254 3094309266508 3867886583135 7735773166270 10056505116151 15471546332540 20113010232302 40226020464604 50282525580755 100565051161510 201130102323020