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143121030400 = 285253616917
BaseRepresentation
bin1000010101001010101…
…1011001110100000000
3111200102100110122120201
42011102223121310000
54321102440433100
6145425432214544
713224446454205
oct2052253316400
9450370418521
10143121030400
11557740aa507
12238a2b3a454
131065b37144a
146cd9d3bcac
153ac9c2136a
hex2152ad9d00

143121030400 has 216 divisors, whose sum is σ = 366900751224. Its totient is φ = 55239475200.

The previous prime is 143121030373. The next prime is 143121030413. The reversal of 143121030400 is 4030121341.

It can be written as a sum of positive squares in 12 ways, for example, as 52071588864 + 91049441536 = 228192^2 + 301744^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20687742 + ... + 20694658.

It is an arithmetic number, because the mean of its divisors is an integer number (1698614589).

Almost surely, 2143121030400 is an apocalyptic number.

143121030400 is a gapful number since it is divisible by the number (10) 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 143121030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183450375612).

143121030400 is an abundant number, since it is smaller than the sum of its proper divisors (223779720824).

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

143121030400 is an equidigital number, since it uses as much as digits as its factorization.

143121030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 143121030400 its reverse (4030121341), we get a palindrome (147151151741).

The spelling of 143121030400 in words is "one hundred forty-three billion, one hundred twenty-one million, thirty thousand, four hundred".