Search a number
-
+
2150132342250 = 235341631110813
BaseRepresentation
bin11111010010011101110…
…111111101110111101010
321121112212102100001021110
4133102131313331313222
5240211432334423000
64323431314051150
7311225166233544
oct37223567756752
97545772301243
102150132342250
117599587206a2
122a8862b79ab6
131279ab36c449
14760d1a50694
153ade34ee850
hex1f49ddfddea

2150132342250 has 128 divisors (see below), whose sum is σ = 5506388439552. Its totient is φ = 558492480000.

The previous prime is 2150132342249. The next prime is 2150132342251. The reversal of 2150132342250 is 522432310512.

It is an interprime number because it is at equal distance from previous prime (2150132342249) and next prime (2150132342251).

It is a super-2 number, since 2×21501323422502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2150132342251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19347844 + ... + 19458656.

It is an arithmetic number, because the mean of its divisors is an integer number (43018659684).

Almost surely, 22150132342250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2150132342250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753194219776).

2150132342250 is an abundant number, since it is smaller than the sum of its proper divisors (3356256097302).

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

2150132342250 is a wasteful number, since it uses less digits than its factorization.

2150132342250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111505 (or 111495 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2150132342250 its reverse (522432310512), we get a palindrome (2672564652762).

The spelling of 2150132342250 in words is "two trillion, one hundred fifty billion, one hundred thirty-two million, three hundred forty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 125 150 205 246 250 375 410 615 631 750 1025 1230 1262 1893 2050 3075 3155 3786 5125 6150 6310 9465 10250 15375 15775 18930 25871 30750 31550 47325 51742 77613 78875 94650 110813 129355 155226 157750 221626 236625 258710 332439 388065 473250 554065 646775 664878 776130 1108130 1293550 1662195 1940325 2770325 3233875 3324390 3880650 4543333 5540650 6467750 8310975 9086666 9701625 13629999 13851625 16621950 19403250 22716665 27259998 27703250 41554875 45433330 68149995 69923003 83109750 113583325 136299990 139846006 209769009 227166650 340749975 349615015 419538018 567916625 681499950 699230030 1048845045 1135833250 1703749875 1748075075 2097690090 2866843123 3407499750 3496150150 5244225225 5733686246 8600529369 8740375375 10488450450 14334215615 17201058738 17480750750 26221126125 28668431230 43002646845 52442252250 71671078075 86005293690 143342156150 215013234225 358355390375 430026468450 716710780750 1075066171125 2150132342250