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243231331000 = 23537192101953
BaseRepresentation
bin1110001010000110110…
…1111001001010111000
3212020211012122211210211
43202201231321022320
512441114210043000
6303423335320504
723400333125620
oct3424155711270
9766735584724
10243231331000
1194176822029
123b181820134
1319c2398ccc8
14bab58b1880
1564d89977ba
hex38a1b792b8

243231331000 has 384 divisors, whose sum is σ = 694031794560. Its totient is φ = 78140160000.

The previous prime is 243231330997. The next prime is 243231331061. The reversal of 243231331000 is 133132342.

243231331000 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 2×2432313310002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 255226524 + ... + 255227476.

It is an arithmetic number, because the mean of its divisors is an integer number (1807374465).

Almost surely, 2243231331000 is an apocalyptic number.

243231331000 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 243231331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347015897280).

243231331000 is an abundant number, since it is smaller than the sum of its proper divisors (450800463560).

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

243231331000 is a wasteful number, since it uses less digits than its factorization.

243231331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 243231331000 its reverse (133132342), we get a palindrome (243364463342).

The spelling of 243231331000 in words is "two hundred forty-three billion, two hundred thirty-one million, three hundred thirty-one thousand".