Search a number
-
+
2130014122410 = 2352327140927851
BaseRepresentation
bin11110111111101110101…
…111000011000110101010
321112121221100100120220010
4132333232233003012222
5234344232103404120
64310303122512350
7306613510211436
oct36775657030652
97477840316803
102130014122410
11751374496329
122a49895056b6
13125b23341c55
1475143b939c6
153a6171d07e0
hex1efeebc31aa

2130014122410 has 128 divisors (see below), whose sum is σ = 5367263109120. Its totient is φ = 539960256000.

The previous prime is 2130014122391. The next prime is 2130014122427. The reversal of 2130014122410 is 142214100312.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76464985 + ... + 76492835.

It is an arithmetic number, because the mean of its divisors is an integer number (41931743040).

Almost surely, 22130014122410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130014122410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683631554560).

2130014122410 is an abundant number, since it is smaller than the sum of its proper divisors (3237248986710).

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

2130014122410 is a wasteful number, since it uses less digits than its factorization.

2130014122410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28564.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 2130014122410 its reverse (142214100312), we get a palindrome (2272228222722).

The spelling of 2130014122410 in words is "two trillion, one hundred thirty billion, fourteen million, one hundred twenty-two thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 271 345 409 542 690 813 818 1227 1355 1626 2045 2454 2710 4065 4090 6135 6233 8130 9407 12270 12466 18699 18814 27851 28221 31165 37398 47035 55702 56442 62330 83553 93495 94070 110839 139255 141105 167106 186990 221678 278510 282210 332517 417765 554195 640573 665034 835530 1108390 1281146 1662585 1921719 2549297 3202865 3325170 3843438 5098594 6405730 7547621 7647891 9608595 11391059 12746485 15095242 15295782 19217190 22642863 22782118 25492970 34173177 37738105 38239455 45285726 56955295 68346354 75476210 76478910 113214315 113910590 170865885 173595283 226428630 261994357 341731770 347190566 520785849 523988714 785983071 867976415 1041571698 1309971785 1571966142 1735952830 2603929245 2619943570 3086976989 3929915355 5207858490 6173953978 7859830710 9260930967 15434884945 18521861934 30869769890 46304654835 71000470747 92609309670 142000941494 213001412241 355002353735 426002824482 710004707470 1065007061205 2130014122410