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47301465121 = 2174892
BaseRepresentation
bin101100000011011000…
…110001010000100001
311112002112001101200121
4230003120301100201
51233333133340441
633421402320241
73263113551061
oct540330612041
9145075041617
1047301465121
1119073497939
1292011b9081
1345ca97a121
14240a19d3a1
15136c9eddd1
hexb03631421

47301465121 has 3 divisors (see below), whose sum is σ = 47301682611. Its totient is φ = 47301247632.

The previous prime is 47301465061. The next prime is 47301465131. The reversal of 47301465121 is 12156410374.

The square root of 47301465121 is 217489.

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.

It can be written as a sum of positive squares in only one way, i.e., 20667225121 + 26634240000 = 143761^2 + 163200^2 .

It is not a de Polignac number, because 47301465121 - 231 = 45153981473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47301465131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 108745 + ... + 326233.

It is an arithmetic number, because the mean of its divisors is an integer number (15767227537).

Almost surely, 247301465121 is an apocalyptic number.

47301465121 is the 217489-th square number.

47301465121 is the 108745-th centered octagonal number.

It is an amenable number.

47301465121 is a deficient number, since it is larger than the sum of its proper divisors (217490).

47301465121 is an frugal number, since it uses more digits than its factorization.

47301465121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434978 (or 217489 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 47301465121 its reverse (12156410374), we get a palindrome (59457875495).

The spelling of 47301465121 in words is "forty-seven billion, three hundred one million, four hundred sixty-five thousand, one hundred twenty-one".

Divisors: 1 217489 47301465121