Search a number
-
+
241433132100 = 2235223233263571
BaseRepresentation
bin1110000011011010001…
…0010011110001000100
3212002011220000212122120
43200312202103301010
512423423340211400
6302525101525540
723304636522336
oct3406642236104
9762156025576
10241433132100
1193433788636
123a95b5738b0
13199c82809a4
14b984b47456
156430b97ca0
hex3836893c44

241433132100 has 288 divisors, whose sum is σ = 736116885504. Its totient is φ = 60978508800.

The previous prime is 241433132089. The next prime is 241433132113. The reversal of 241433132100 is 1231334142.

It is a happy 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, 422824815 + ... + 422825385.

It is an arithmetic number, because the mean of its divisors is an integer number (2555961408).

Almost surely, 2241433132100 is an apocalyptic number.

241433132100 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 241433132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368058442752).

241433132100 is an abundant number, since it is smaller than the sum of its proper divisors (494683753404).

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

241433132100 is a wasteful number, since it uses less digits than its factorization.

241433132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1100 counting only the distinct ones).

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

Adding to 241433132100 its reverse (1231334142), we get a palindrome (242664466242).

The spelling of 241433132100 in words is "two hundred forty-one billion, four hundred thirty-three million, one hundred thirty-two thousand, one hundred".