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203147616961 = 4507192
BaseRepresentation
bin1011110100110010001…
…0101010001011000001
3201102100201002012020101
42331030202222023001
511312021242220321
6233154050242401
720451121152562
oct2751442521301
9642321065211
10203147616961
1179177596433
1233455886401
1316206479a13
149b92152169
15543e976791
hex2f4c8aa2c1

203147616961 has 3 divisors (see below), whose sum is σ = 203148067681. Its totient is φ = 203147166242.

The previous prime is 203147616953. The next prime is 203147617019. The reversal of 203147616961 is 169616741302.

The square root of 203147616961 is 450719.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169616741302 = 284808370651.

It is not a de Polignac number, because 203147616961 - 23 = 203147616953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (203147416961) 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 2 ways as a sum of consecutive naturals, for example, 225360 + ... + 676078.

Almost surely, 2203147616961 is an apocalyptic number.

203147616961 is the 450719-th square number.

203147616961 is the 225360-th centered octagonal number.

It is an amenable number.

203147616961 is a deficient number, since it is larger than the sum of its proper divisors (450720).

203147616961 is an frugal number, since it uses more digits than its factorization.

203147616961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901438 (or 450719 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The spelling of 203147616961 in words is "two hundred three billion, one hundred forty-seven million, six hundred sixteen thousand, nine hundred sixty-one".

Divisors: 1 450719 203147616961