Search a number
-
+
31243333200 = 24352149197887
BaseRepresentation
bin11101000110001111…
…110110111001010000
32222122101211202212220
4131012033312321100
51002441243130300
622204125021040
72154144643662
oct350617667120
988571752786
1031243333200
1112283057732
12607b3b4780
132c3bb4c311
141725618532
15c2cd73da0
hex7463f6e50

31243333200 has 240 divisors, whose sum is σ = 101380118400. Its totient is φ = 8224348160.

The previous prime is 31243333169. The next prime is 31243333201. The reversal of 31243333200 is 233334213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×312433332002 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31243333201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35223157 + ... + 35224043.

It is an arithmetic number, because the mean of its divisors is an integer number (422417160).

Almost surely, 231243333200 is an apocalyptic number.

31243333200 is a gapful number since it is divisible by the number (30) 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 31243333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50690059200).

31243333200 is an abundant number, since it is smaller than the sum of its proper divisors (70136785200).

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

31243333200 is a wasteful number, since it uses less digits than its factorization.

31243333200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 31243333200 its reverse (233334213), we get a palindrome (31476667413).

The spelling of 31243333200 in words is "thirty-one billion, two hundred forty-three million, three hundred thirty-three thousand, two hundred".