Search a number
-
+
41232121330200 = 233522353125944777
BaseRepresentation
bin10010110000000000110011…
…11100011111101000011000
312101222202022102120202122020
421120000121330133220120
520401021341030031300
6223405435224254440
711453631255411543
oct1130003174375030
9171882272522566
1041232121330200
1112157498631a49
12475b08a011420
131a01231893118
14a27906a8b85a
154b781e8ad8a0
hex258019f1fa18

41232121330200 has 384 divisors, whose sum is σ = 136004470156800. Its totient is φ = 10310315192320.

The previous prime is 41232121330199. The next prime is 41232121330229. The reversal of 41232121330200 is 203312123214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 920810212 + ... + 920854988.

It is an arithmetic number, because the mean of its divisors is an integer number (354178307700).

Almost surely, 241232121330200 is an apocalyptic number.

41232121330200 is a gapful number since it is divisible by the number (40) 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 41232121330200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68002235078400).

41232121330200 is an abundant number, since it is smaller than the sum of its proper divisors (94772348826600).

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

41232121330200 is a wasteful number, since it uses less digits than its factorization.

41232121330200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46131 (or 46122 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 41232121330200 its reverse (203312123214), we get a palindrome (41435433453414).

The spelling of 41232121330200 in words is "forty-one trillion, two hundred thirty-two billion, one hundred twenty-one million, three hundred thirty thousand, two hundred".