Search a number
-
+
2141501300000 = 255535176089
BaseRepresentation
bin11111001010011011011…
…011001001110100100000
321120201120220111200010222
4133022123123021310200
5240041243313100000
64315443032542212
7310501253465216
oct37123333116440
97521526450128
102141501300000
11756229722927
122a7054551968
13126c3418225a
147591363ccb6
153aa8a903a85
hex1f29b6c9d20

2141501300000 has 144 divisors (see below), whose sum is σ = 5272127640360. Its totient is φ = 856216320000.

The previous prime is 2141501299999. The next prime is 2141501300051. The reversal of 2141501300000 is 31051412.

It can be written as a sum of positive squares in 12 ways, for example, as 685974871696 + 1455526428304 = 828236^2 + 1206452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351696956 + ... + 351703044.

Almost surely, 22141501300000 is an apocalyptic number.

2141501300000 is a gapful number since it is divisible by the number (20) 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 2141501300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636063820180).

2141501300000 is an abundant number, since it is smaller than the sum of its proper divisors (3130626340360).

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

2141501300000 is an frugal number, since it uses more digits than its factorization.

2141501300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9641 (or 9613 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 2141501300000 its reverse (31051412), we get a palindrome (2141532351412).

The spelling of 2141501300000 in words is "two trillion, one hundred forty-one billion, five hundred one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 3517 4000 5000 6089 6250 7034 10000 12178 12500 14068 17585 20000 24356 25000 28136 30445 35170 48712 50000 56272 60890 70340 87925 97424 100000 112544 121780 140680 152225 175850 194848 243560 281360 304450 351700 439625 487120 562720 608900 703400 761125 879250 974240 1217800 1406800 1522250 1758500 2198125 2435600 2813600 3044500 3517000 3805625 4396250 4871200 6089000 7034000 7611250 8792500 10990625 12178000 14068000 15222500 17585000 19028125 21415013 21981250 24356000 30445000 35170000 38056250 42830026 43962500 60890000 70340000 76112500 85660052 87925000 107075065 121780000 152225000 171320104 175850000 214150130 304450000 342640208 351700000 428300260 535375325 608900000 685280416 856600520 1070750650 1713201040 2141501300 2676876625 3426402080 4283002600 5353753250 8566005200 10707506500 13384383125 17132010400 21415013000 26768766250 42830026000 53537532500 66921915625 85660052000 107075065000 133843831250 214150130000 267687662500 428300260000 535375325000 1070750650000 2141501300000