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2134241132130 = 2325471283393257
BaseRepresentation
bin11111000011101010101…
…011110011111001100010
321120000211221012221010200
4133003222223303321202
5234431411212212010
64312242402210030
7310123325205102
oct37035253637142
97500757187120
102134241132130
11753143530298
122a5769053916
13126347cb6833
147542531b202
153a7b3347cc0
hex1f0eaaf3e62

2134241132130 has 96 divisors (see below), whose sum is σ = 5671522831104. Its totient is φ = 556586227968.

The previous prime is 2134241132117. The next prime is 2134241132137. The reversal of 2134241132130 is 312311424312.

2134241132130 is a `hidden beast` number, since 2 + 1 + 34 + 2 + 411 + 3 + 213 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2134241132094 and 2134241132103.

It is not an unprimeable number, because it can be changed into a prime (2134241132137) 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, 5230462 + ... + 5623718.

It is an arithmetic number, because the mean of its divisors is an integer number (59078362824).

Almost surely, 22134241132130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134241132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835761415552).

2134241132130 is an abundant number, since it is smaller than the sum of its proper divisors (3537281698974).

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

2134241132130 is a wasteful number, since it uses less digits than its factorization.

2134241132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394600 (or 394597 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 2134241132130 its reverse (312311424312), we get a palindrome (2446552556442).

The spelling of 2134241132130 in words is "two trillion, one hundred thirty-four billion, two hundred forty-one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1283 1410 2115 2566 3849 4230 6415 7698 11547 12830 19245 23094 38490 57735 60301 115470 120602 180903 301505 361806 393257 542709 603010 786514 904515 1085418 1179771 1809030 1966285 2359542 2713545 3539313 3932570 5427090 5898855 7078626 11797710 17696565 18483079 35393130 36966158 55449237 92415395 110898474 166347711 184830790 277246185 332695422 504548731 554492370 831738555 1009097462 1513646193 1663477110 2522743655 3027292386 4540938579 5045487310 7568230965 9081877158 15136461930 22704692895 23713790357 45409385790 47427580714 71141371071 118568951785 142282742142 213424113213 237137903570 355706855355 426848226426 711413710710 1067120566065 2134241132130