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142213000241 = 1327756417001
BaseRepresentation
bin1000010001110010001…
…1100010110000110001
3111121002001211221101002
42010130203202300301
54312223012001431
6145155354051345
713163112362024
oct2043443426061
9447061757332
10142213000241
1155348592a64
122368aa19b55
13105451c59b0
146c514d11bb
153a7515a3cb
hex211c8e2c31

142213000241 has 16 divisors (see below), whose sum is σ = 153754565328. Its totient is φ = 130757760000.

The previous prime is 142213000187. The next prime is 142213000261. The reversal of 142213000241 is 142000312241.

It can be written as a sum of positive squares in 8 ways, for example, as 764799025 + 141448201216 = 27655^2 + 376096^2 .

It is a cyclic number.

It is not a de Polignac number, because 142213000241 - 26 = 142213000177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142213000261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20309741 + ... + 20316741.

It is an arithmetic number, because the mean of its divisors is an integer number (9609660333).

Almost surely, 2142213000241 is an apocalyptic number.

It is an amenable number.

142213000241 is a deficient number, since it is larger than the sum of its proper divisors (11541565087).

142213000241 is a wasteful number, since it uses less digits than its factorization.

142213000241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12932.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 142213000241 its reverse (142000312241), we get a palindrome (284213312482).

The spelling of 142213000241 in words is "one hundred forty-two billion, two hundred thirteen million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 13 277 3601 5641 7001 73333 91013 1562557 1939277 20313241 25210601 39492641 513404333 10939461557 142213000241