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143072306001 = 3259221372
BaseRepresentation
bin1000010100111111000…
…1100010001101010001
3111200021221210012021100
42011033301202031101
54321003002243001
6145420532015013
713223315351442
oct2051761421521
9450257705240
10143072306001
1155749650109
122388a761469
1310651241841
146cd36972c9
153ac57e9586
hex214fc62351

143072306001 has 27 divisors (see below), whose sum is σ = 210320495931. Its totient is φ = 93721024224.

The previous prime is 143072305931. The next prime is 143072306023. The reversal of 143072306001 is 100603270341.

The square root of 143072306001 is 378249.

It is a perfect power (a square), and thus also a powerful number.

143072306001 is a `hidden beast` number, since 1 + 4 + 30 + 7 + 23 + 0 + 600 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6485886225 + 136586419776 = 80535^2 + 369576^2 .

It is not a de Polignac number, because 143072306001 - 29 = 143072305489 is a prime.

It is a super-2 number, since 2×1430723060012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (143072306401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 66949005 + ... + 66951141.

Almost surely, 2143072306001 is an apocalyptic number.

143072306001 is the 378249-th square number.

143072306001 is the 189125-th centered octagonal number.

It is an amenable number.

143072306001 is a deficient number, since it is larger than the sum of its proper divisors (67248189930).

143072306001 is an frugal number, since it uses more digits than its factorization.

143072306001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 143072306001 its reverse (100603270341), we get a palindrome (243675576342).

The spelling of 143072306001 in words is "one hundred forty-three billion, seventy-two million, three hundred six thousand, one".

Divisors: 1 3 9 59 177 531 2137 3481 6411 10443 19233 31329 126083 378249 1134747 4566769 7438897 13700307 22316691 41100921 66950073 269439371 808318113 2424954339 15896922889 47690768667 143072306001