Search a number
-
+
2130230022300 = 22325210921714883
BaseRepresentation
bin11110111111111011100…
…110101001000010011100
321112122111101121102212100
4132333323212221002130
5234400202341203200
64310340354205100
7306622041300252
oct36777346510234
97478441542770
102130230022300
11751475349096
122a4a29883790
13125b58ca5373
14751647145d2
153a62b12ad00
hex1effb9a909c

2130230022300 has 108 divisors (see below), whose sum is σ = 6738345654040. Its totient is φ = 562849741440.

The previous prime is 2130230022293. The next prime is 2130230022353. The reversal of 2130230022300 is 32200320312.

It is a happy number.

2130230022300 is a `hidden beast` number, since 2 + 130 + 2 + 300 + 2 + 230 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10759342 + ... + 10955541.

Almost surely, 22130230022300 is an apocalyptic number.

2130230022300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2130230022300 is an abundant number, since it is smaller than the sum of its proper divisors (4608115631740).

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

2130230022300 is a wasteful number, since it uses less digits than its factorization.

2130230022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21715012 (or 21715002 counting only the distinct ones).

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

Adding to 2130230022300 its reverse (32200320312), we get a palindrome (2162430342612).

The spelling of 2130230022300 in words is "two trillion, one hundred thirty billion, two hundred thirty million, twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 109 150 180 218 225 300 327 436 450 545 654 900 981 1090 1308 1635 1962 2180 2725 3270 3924 4905 5450 6540 8175 9810 10900 16350 19620 24525 32700 49050 98100 21714883 43429766 65144649 86859532 108574415 130289298 195433947 217148830 260578596 325723245 390867894 434297660 542872075 651446490 781735788 977169735 1085744150 1302892980 1628616225 1954339470 2171488300 2366922247 3257232450 3908678940 4733844494 4885848675 6514464900 7100766741 9467688988 9771697350 11834611235 14201533482 19543394700 21302300223 23669222470 28403066964 35503833705 42604600446 47338444940 59173056175 71007667410 85209200892 106511501115 118346112350 142015334820 177519168525 213023002230 236692224700 355038337050 426046004460 532557505575 710076674100 1065115011150 2130230022300