Search a number
-
+
2124224021130 = 2351933123514789
BaseRepresentation
bin11110111010010101100…
…111100100001010001010
321112001222211020222010120
4132322111213210022022
5234300402322134010
64303504404524110
7306320152155621
oct36722547441212
97461884228116
102124224021130
11749973099562
122a38323b0636
1312540c8b7c13
1474b54bc26b8
153a3c8c09e70
hex1ee959e428a

2124224021130 has 128 divisors (see below), whose sum is σ = 5386087526400. Its totient is φ = 534685536000.

The previous prime is 2124224021123. The next prime is 2124224021131. The reversal of 2124224021130 is 311204224212.

It is a super-4 number, since 4×21242240211304 (a number of 50 digits) contains 4444 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2124224021130.

It is not an unprimeable number, because it can be changed into a prime (2124224021131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443560776 + ... + 443565564.

It is an arithmetic number, because the mean of its divisors is an integer number (42078808800).

Almost surely, 22124224021130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2124224021130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693043763200).

2124224021130 is an abundant number, since it is smaller than the sum of its proper divisors (3261863505270).

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

2124224021130 is a wasteful number, since it uses less digits than its factorization.

2124224021130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2124224021130 its reverse (311204224212), we get a palindrome (2435428245342).

The spelling of 2124224021130 in words is "two trillion, one hundred twenty-four billion, two hundred twenty-four million, twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 331 570 662 993 1655 1986 2351 3310 4702 4789 4965 6289 7053 9578 9930 11755 12578 14106 14367 18867 23510 23945 28734 31445 35265 37734 44669 47890 62890 70530 71835 89338 90991 94335 134007 143670 181982 188670 223345 268014 272973 446690 454955 545946 670035 778181 909910 1340070 1364865 1556362 1585159 2334543 2729730 3170318 3890905 4669086 4755477 7781810 7925795 9510954 11258939 11672715 14785439 15851590 22517878 23345430 23777385 29570878 30118021 33776817 44356317 47554770 56294695 60236042 67553634 73927195 88712634 90354063 112589390 147854390 150590105 168884085 180708126 213919841 221781585 301180210 337768170 427839682 443563170 451770315 641759523 903540630 1069599205 1283519046 2139198410 3208797615 3726708809 6417595230 7453417618 11180126427 18633544045 22360252854 37267088090 55900632135 70807467371 111801264270 141614934742 212422402113 354037336855 424844804226 708074673710 1062112010565 2124224021130