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131330102311021 = 1321139017151801
BaseRepresentation
bin11101110111000110101100…
…000110001011100001101101
3122020000000221122011120201011
4131313012230012023201231
5114203203022142423041
61143152114402345221
736443200235620645
oct3567065406134155
9566000848146634
10131330102311021
1138933868a93209
12128907a165b211
1358384b5cb7083
1424605a75c5525
15102b2e60a6e81
hex7771ac18b86d

131330102311021 has 8 divisors (see below), whose sum is σ = 131438992556088. Its totient is φ = 131221226400000.

The previous prime is 131330102311019. The next prime is 131330102311073. The reversal of 131330102311021 is 120113201033131.

It can be written as a sum of positive squares in 4 ways, for example, as 40976142390121 + 90353959920900 = 6401261^2 + 9505470^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131330102311021 - 21 = 131330102311019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131330102310983 and 131330102311001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330102311921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14787321 + ... + 21939121.

It is an arithmetic number, because the mean of its divisors is an integer number (16429874069511).

Almost surely, 2131330102311021 is an apocalyptic number.

It is an amenable number.

131330102311021 is a deficient number, since it is larger than the sum of its proper divisors (108890245067).

131330102311021 is a wasteful number, since it uses less digits than its factorization.

131330102311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7167023.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 131330102311021 its reverse (120113201033131), we get a palindrome (251443303344152).

The spelling of 131330102311021 in words is "one hundred thirty-one trillion, three hundred thirty billion, one hundred two million, three hundred eleven thousand, twenty-one".

Divisors: 1 1321 13901 7151801 18363221 9447529121 99417185701 131330102311021