Search a number
-
+
2130130332 = 2233114214259
BaseRepresentation
bin111111011110111…
…0011010110011100
312111110012211111000
41332331303112130
513330303132312
6551212030300
7103533544341
oct17675632634
95443184430
102130130332
119a34484a0
124b5462390
1327c40a265
14162c907c8
15c7019adc
hex7ef7359c

2130130332 has 96 divisors (see below), whose sum is σ = 6040339200. Its totient is φ = 643809600.

The previous prime is 2130130319. The next prime is 2130130339. The reversal of 2130130332 is 2330310312.

2130130332 is a `hidden beast` number, since 2 + 1 + 301 + 30 + 332 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130130339) 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, 498019 + ... + 502277.

It is an arithmetic number, because the mean of its divisors is an integer number (62920200).

Almost surely, 22130130332 is an apocalyptic number.

2130130332 is a gapful number since it is divisible by the number (22) 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 2130130332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020169600).

2130130332 is an abundant number, since it is smaller than the sum of its proper divisors (3910208868).

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

2130130332 is a wasteful number, since it uses less digits than its factorization.

2130130332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2130130332 is about 46153.3350040926. The cubic root of 2130130332 is about 1286.6745934824.

Adding to 2130130332 its reverse (2330310312), we get a palindrome (4460440644).

The spelling of 2130130332 in words is "two billion, one hundred thirty million, one hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 421 594 842 1188 1263 1684 2526 3789 4259 4631 5052 7578 8518 9262 11367 12777 13893 15156 17036 18524 22734 25554 27786 38331 41679 45468 46849 51108 55572 76662 83358 93698 114993 125037 140547 153324 166716 187396 229986 250074 281094 421641 459972 500148 562188 843282 1264923 1686564 1793039 2529846 3586078 5059692 5379117 7172156 10758234 16137351 19723429 21516468 32274702 39446858 48412053 59170287 64549404 78893716 96824106 118340574 177510861 193648212 236681148 355021722 532532583 710043444 1065065166 2130130332