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2042153013289 is a prime number
BaseRepresentation
bin11101101101111001110…
…011100001000000101001
321020020011011011210110111
4131231321303201000221
5231424312132411124
64202052510214321
7300353312130364
oct35557163410051
97206134153414
102042153013289
11718088156654
1228b948ab43a1
1311a7606a659c
1470baad870db
15381c39ee494
hex1db79ce1029

2042153013289 has 2 divisors, whose sum is σ = 2042153013290. Its totient is φ = 2042153013288.

The previous prime is 2042153013223. The next prime is 2042153013293. The reversal of 2042153013289 is 9823103512402.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1746978123289 + 295174890000 = 1321733^2 + 543300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2042153013289 - 227 = 2042018795561 is a prime.

It is a super-2 number, since 2×20421530132892 (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2042153013389) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1021076506644 + 1021076506645.

It is an arithmetic number, because the mean of its divisors is an integer number (1021076506645).

Almost surely, 22042153013289 is an apocalyptic number.

It is an amenable number.

2042153013289 is a deficient number, since it is larger than the sum of its proper divisors (1).

2042153013289 is an equidigital number, since it uses as much as digits as its factorization.

2042153013289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 2042153013289 in words is "two trillion, forty-two billion, one hundred fifty-three million, thirteen thousand, two hundred eighty-nine".