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212143144000241 = 3710952601820977
BaseRepresentation
bin110000001111000101101100…
…101111010101101011110001
31000211010200112110101210122102
4300033011230233111223301
5210301223124331001431
62031105114232150145
762453556605263016
oct6017055457255361
91024120473353572
10212143144000241
11616604472561a3
121b962919838355
13914b021a0300c
143a55ad65dd70d
15197d4e3c1bdcb
hexc0f16cbd5af1

212143144000241 has 8 divisors (see below), whose sum is σ = 219875611688040. Its totient is φ = 204515879954688.

The previous prime is 212143144000127. The next prime is 212143144000303. The reversal of 212143144000241 is 142000441341212.

It can be written as a sum of positive squares in 4 ways, for example, as 49159519618225 + 162983624382016 = 7011385^2 + 12766504^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212143144000241 - 222 = 212143139805937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212143144005241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26300906456 + ... + 26300914521.

It is an arithmetic number, because the mean of its divisors is an integer number (27484451461005).

Almost surely, 2212143144000241 is an apocalyptic number.

It is an amenable number.

212143144000241 is a deficient number, since it is larger than the sum of its proper divisors (7732467687799).

212143144000241 is a wasteful number, since it uses less digits than its factorization.

212143144000241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52601821123.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 212143144000241 its reverse (142000441341212), we get a palindrome (354143585341453).

The spelling of 212143144000241 in words is "two hundred twelve trillion, one hundred forty-three billion, one hundred forty-four million, two hundred forty-one", and thus it is an aban number.

Divisors: 1 37 109 4033 52601820977 1946267376149 5733598486493 212143144000241