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131101021110329 = 5310750373362701
BaseRepresentation
bin11101110011110001010101…
…110010110000000000111001
3122012012010122120110211112122
4131303301111302300000321
5114140424342401012304
61142454551101251025
736420510342552164
oct3563612562600071
9565163576424478
10131101021110329
11388556a3690556
121285430a863a75
13581ca08a7c24a
14245347510aadb
1510253899ea9be
hex773c55cb0039

131101021110329 has 32 divisors (see below), whose sum is σ = 135277480283904. Its totient is φ = 126996440313600.

The previous prime is 131101021110287. The next prime is 131101021110347. The reversal of 131101021110329 is 923011120101131.

It is not a de Polignac number, because 131101021110329 - 240 = 130001509482553 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131101021110298 and 131101021110307.

It is not an unprimeable number, because it can be changed into a prime (131101021110529) 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 31 ways as a sum of consecutive naturals, for example, 2090860679 + ... + 2090923379.

It is an arithmetic number, because the mean of its divisors is an integer number (4227421258872).

Almost surely, 2131101021110329 is an apocalyptic number.

It is an amenable number.

131101021110329 is a deficient number, since it is larger than the sum of its proper divisors (4176459173575).

131101021110329 is a wasteful number, since it uses less digits than its factorization.

131101021110329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64097.

The product of its (nonzero) digits is 324, while the sum is 26.

The spelling of 131101021110329 in words is "one hundred thirty-one trillion, one hundred one billion, twenty-one million, one hundred ten thousand, three hundred twenty-nine".

Divisors: 1 53 107 503 733 5671 26659 38849 53821 62701 78431 368699 2852513 3323153 4156843 6709007 19541047 31538603 39450793 45959833 355577371 1671545959 2090892029 2435871149 3374630521 4917702131 23117795999 178855417613 260638212943 1225243187947 2473604171893 131101021110329