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1303300211201 = 239222816481
BaseRepresentation
bin10010111101110010101…
…111110000001000000001
311121121001020021112220122
4102331302233300020001
5132323124323224301
62434421114350025
7163105665003362
oct22756257601001
94547036245818
101303300211201
114627a9aa076a
1219070872b315
1395b92a51931
14471199bbb69
1523d7da1a81b
hex12f72bf0201

1303300211201 has 6 divisors (see below), whose sum is σ = 1308776224002. Its totient is φ = 1297847015360.

The previous prime is 1303300211111. The next prime is 1303300211203. The reversal of 1303300211201 is 1021120033031.

It can be written as a sum of positive squares in only one way, i.e., 1154131233025 + 149168978176 = 1074305^2 + 386224^2 .

It is not a de Polignac number, because 1303300211201 - 214 = 1303300194817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1303300211201.

It is not an unprimeable number, because it can be changed into a prime (1303300211203) 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 in 5 ways as a sum of consecutive naturals, for example, 11351120 + ... + 11465361.

It is an arithmetic number, because the mean of its divisors is an integer number (218129370667).

Almost surely, 21303300211201 is an apocalyptic number.

It is an amenable number.

1303300211201 is a deficient number, since it is larger than the sum of its proper divisors (5476012801).

1303300211201 is an frugal number, since it uses more digits than its factorization.

1303300211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22816959 (or 22816720 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1303300211201 its reverse (1021120033031), we get a palindrome (2324420244232).

The spelling of 1303300211201 in words is "one trillion, three hundred three billion, three hundred million, two hundred eleven thousand, two hundred one".

Divisors: 1 239 57121 22816481 5453138959 1303300211201