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220020323000130 = 2325127142313527317
BaseRepresentation
bin110010000001101101111001…
…001100100001111101000010
31001212000201220121101221100200
4302001231321030201331002
5212314303110142001010
62055535535132030030
764225641466105602
oct6201557114417502
91055021817357320
10220020323000130
1164118105463164
12208154b5002316
13959ca9ab3c183
143c4907d006c02
151a683781e4cc0
hexc81b79321f42

220020323000130 has 96 divisors (see below), whose sum is σ = 576962405720064. Its totient is φ = 58169190296448.

The previous prime is 220020323000117. The next prime is 220020323000131. The reversal of 220020323000130 is 31000323020022.

It is a happy number.

220020323000130 is a `hidden beast` number, since 2 + 200 + 2 + 0 + 32 + 300 + 0 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220020323000131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9501232 + ... + 23028548.

It is an arithmetic number, because the mean of its divisors is an integer number (6010025059584).

Almost surely, 2220020323000130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220020323000130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288481202860032).

220020323000130 is an abundant number, since it is smaller than the sum of its proper divisors (356942082719934).

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

220020323000130 is a wasteful number, since it uses less digits than its factorization.

220020323000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13528880 (or 13528877 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 220020323000130 its reverse (31000323020022), we get a palindrome (251020646020152).

The spelling of 220020323000130 in words is "two hundred twenty trillion, twenty billion, three hundred twenty-three million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 127 254 381 635 762 1143 1270 1423 1905 2286 2846 3810 4269 5715 7115 8538 11430 12807 14230 21345 25614 42690 64035 128070 180721 361442 542163 903605 1084326 1626489 1807210 2710815 3252978 5421630 8132445 13527317 16264890 27054634 40581951 67636585 81163902 121745853 135273170 202909755 243491706 405819510 608729265 1217458530 1717969259 3435938518 5153907777 8589846295 10307815554 15461723331 17179692590 19249372091 25769538885 30923446662 38498744182 51539077770 57748116273 77308616655 96246860455 115496232546 154617233310 173244348819 192493720910 288740581365 346488697638 577481162730 866221744095 1732443488190 2444670255557 4889340511114 7334010766671 12223351277785 14668021533342 22002032300013 24446702555570 36670053833355 44004064600026 73340107666710 110010161500065 220020323000130