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2034153137 is a prime number
BaseRepresentation
bin111100100111110…
…1011011010110001
312020202121200112002
41321033223122301
513131220400022
6533502543345
7101260005422
oct17117533261
95222550462
102034153137
119542543a5
12489297b55
13265574813
14154229649
15bd8ac092
hex793eb6b1

2034153137 has 2 divisors, whose sum is σ = 2034153138. Its totient is φ = 2034153136.

The previous prime is 2034153109. The next prime is 2034153217. The reversal of 2034153137 is 7313514302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2031845776 + 2307361 = 45076^2 + 1519^2 .

It is a cyclic number.

It is not a de Polignac number, because 2034153137 - 28 = 2034152881 is a prime.

It is a super-3 number, since 3×20341531373 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2034159137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1017076568 + 1017076569.

It is an arithmetic number, because the mean of its divisors is an integer number (1017076569).

Almost surely, 22034153137 is an apocalyptic number.

It is an amenable number.

2034153137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2034153137 is an equidigital number, since it uses as much as digits as its factorization.

2034153137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 2034153137 is about 45101.5868567837. The cubic root of 2034153137 is about 1267.0523194671.

Adding to 2034153137 its reverse (7313514302), we get a palindrome (9347667439).

The spelling of 2034153137 in words is "two billion, thirty-four million, one hundred fifty-three thousand, one hundred thirty-seven".