Search a number
-
+
42132102200 = 2352613453451
BaseRepresentation
bin100111001111010001…
…001101110000111000
311000202020222112212122
4213033101031300320
51142241304232300
631204421100412
73021033650126
oct471721156070
9130666875778
1042132102200
1116960522a81
1281b9b57708
133c85a001b6
142079812916
151168c90c85
hex9cf44dc38

42132102200 has 48 divisors (see below), whose sum is σ = 99563021160. Its totient is φ = 16576560000.

The previous prime is 42132102163. The next prime is 42132102217. The reversal of 42132102200 is 220123124.

42132102200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×421321022002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1714526 + ... + 1738925.

Almost surely, 242132102200 is an apocalyptic number.

42132102200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42132102200 is an abundant number, since it is smaller than the sum of its proper divisors (57430918960).

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

42132102200 is a wasteful number, since it uses less digits than its factorization.

42132102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3453528 (or 3453519 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 42132102200 its reverse (220123124), we get a palindrome (42352225324).

The spelling of 42132102200 in words is "forty-two billion, one hundred thirty-two million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 3453451 6906902 13813804 17267255 27627608 34534510 69069020 86336275 138138040 172672550 210660511 345345100 421321022 690690200 842642044 1053302555 1685284088 2106605110 4213210220 5266512775 8426420440 10533025550 21066051100 42132102200