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331410010401 = 32232351680993
BaseRepresentation
bin1001101001010011001…
…00110111000100100001
31011200102112101212202200
410310221210313010201
520412211430313101
6412125254403413
732641435415601
oct4645144670441
91150375355680
10331410010401
11118606346a88
1254290660569
1325337368992
141207c946c01
158949ea8986
hex4d29937121

331410010401 has 24 divisors (see below), whose sum is σ = 499729741056. Its totient is φ = 211243718400.

The previous prime is 331410010367. The next prime is 331410010403. The reversal of 331410010401 is 104010014133.

It is not a de Polignac number, because 331410010401 - 27 = 331410010273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (331410010403) 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 23 ways as a sum of consecutive naturals, for example, 146161 + ... + 827153.

It is an arithmetic number, because the mean of its divisors is an integer number (20822072544).

Almost surely, 2331410010401 is an apocalyptic number.

It is an amenable number.

331410010401 is a deficient number, since it is larger than the sum of its proper divisors (168319730655).

331410010401 is a wasteful number, since it uses less digits than its factorization.

331410010401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683373 (or 683370 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 331410010401 its reverse (104010014133), we get a palindrome (435420024534).

The spelling of 331410010401 in words is "three hundred thirty-one billion, four hundred ten million, ten thousand, four hundred one".

Divisors: 1 3 9 23 69 207 2351 7053 21159 54073 162219 486657 680993 2042979 6128937 15662839 46988517 140965551 1601014543 4803043629 14409130887 36823334489 110470003467 331410010401