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243130210400 = 255271147791063
BaseRepresentation
bin1110001001101110110…
…0001001100001100000
3212020120011101101102102
43202123230021201200
512440412313213100
6303405324105532
723364664455440
oct3423354114140
9766504341372
10243130210400
1194124735690
123b1539952a8
1319c08a4642c
14baa62ac120
1564ceb70cd5
hex389bb09860

243130210400 has 576 divisors, whose sum is σ = 766030970880. Its totient is φ = 73160755200.

The previous prime is 243130210391. The next prime is 243130210417. The reversal of 243130210400 is 4012031342.

It is a super-2 number, since 2×2431302104002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 228720269 + ... + 228721331.

It is an arithmetic number, because the mean of its divisors is an integer number (1329914880).

Almost surely, 2243130210400 is an apocalyptic number.

243130210400 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 243130210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383015485440).

243130210400 is an abundant number, since it is smaller than the sum of its proper divisors (522900760480).

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

243130210400 is a wasteful number, since it uses less digits than its factorization.

243130210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 243130210400 its reverse (4012031342), we get a palindrome (247142241742).

The spelling of 243130210400 in words is "two hundred forty-three billion, one hundred thirty million, two hundred ten thousand, four hundred".