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330343023101 = 72131015134573
BaseRepresentation
bin1001100111010011111…
…10101000000111111101
31011120200011200022100112
410303221332220013331
520403020303214401
6411431341235405
732603131236500
oct4635176500775
91146604608315
10330343023101
1111810902a6a3
1254033262b65
13251c72a6350
1411dbad5d137
1588d64943bb
hex4ce9fa81fd

330343023101 has 24 divisors (see below), whose sum is σ = 417933785304. Its totient is φ = 258782428800.

The previous prime is 330343023097. The next prime is 330343023121. The reversal of 330343023101 is 101320343033.

It can be written as a sum of positive squares in 4 ways, for example, as 162107695876 + 168235327225 = 402626^2 + 410165^2 .

It is not a de Polignac number, because 330343023101 - 22 = 330343023097 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330343023121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2502950 + ... + 2631623.

It is an arithmetic number, because the mean of its divisors is an integer number (17413907721).

Almost surely, 2330343023101 is an apocalyptic number.

It is an amenable number.

330343023101 is a deficient number, since it is larger than the sum of its proper divisors (87590762203).

330343023101 is a wasteful number, since it uses less digits than its factorization.

330343023101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5134701 (or 5134694 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 330343023101 its reverse (101320343033), we get a palindrome (431663366134).

The spelling of 330343023101 in words is "three hundred thirty billion, three hundred forty-three million, twenty-three thousand, one hundred one".

Divisors: 1 7 13 49 91 101 637 707 1313 4949 9191 64337 5134573 35942011 66749449 251594077 467246143 518591873 3270723001 3630143111 6741694349 25411001777 47191860443 330343023101