Search a number
-
+
202301112231301 = 29371315011433737
BaseRepresentation
bin101101111111110111100101…
…111011101010010110000101
3222112021210112100021010210111
4231333313211323222112011
5203004000134212400201
61554131503054353021
760416526102463126
oct5577674573522605
9875253470233714
10202301112231301
115950646896a256
121a8333891bb771
1388b5bb3bc5b85
1437d55d721a04d
15185c4b21cab51
hexb7fde5eea585

202301112231301 has 16 divisors (see below), whose sum is σ = 214934932502640. Its totient is φ = 190044574272000.

The previous prime is 202301112231233. The next prime is 202301112231343. The reversal of 202301112231301 is 103132211103202.

It can be written as a sum of positive squares in 8 ways, for example, as 609250497025 + 201691861734276 = 780545^2 + 14201826^2 .

It is a cyclic number.

It is not a de Polignac number, because 202301112231301 - 225 = 202301078676869 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202301112231401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140383705 + ... + 141817441.

It is an arithmetic number, because the mean of its divisors is an integer number (13433433281415).

Almost surely, 2202301112231301 is an apocalyptic number.

It is an amenable number.

202301112231301 is a deficient number, since it is larger than the sum of its proper divisors (12633820271339).

202301112231301 is a wasteful number, since it uses less digits than its factorization.

202301112231301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565304.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 202301112231301 its reverse (103132211103202), we get a palindrome (305433323334503).

The spelling of 202301112231301 in words is "two hundred two trillion, three hundred one billion, one hundred twelve million, two hundred thirty-one thousand, three hundred one".

Divisors: 1 29 37 1073 131501 1433737 3813529 4865537 41578373 53048269 141100573 1538399801 188537849237 5467597627873 6975900421769 202301112231301