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331010100001321 = 13109233599223713
BaseRepresentation
bin100101101000011010100101…
…1011011010111101000101001
31121102000020220222222222222021
41023100311023123113220221
5321341232141100020241
63131555535104024441
7126502455565416316
oct11320651333275051
91542006828888867
10331010100001321
11965196600429a4
123115bb84902121
1311291170441330
145ba4d8d77dd0d
1528404eb9120d1
hex12d0d4b6d7a29

331010100001321 has 8 divisors (see below), whose sum is σ = 359742804519560. Its totient is φ = 302744593930752.

The previous prime is 331010100001319. The next prime is 331010100001331. The reversal of 331010100001321 is 123100001010133.

It can be written as a sum of positive squares in 4 ways, for example, as 14437043751321 + 316573056250000 = 3799611^2 + 17792500^2 .

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 331010100001321 - 21 = 331010100001319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 331010100001295 and 331010100001304.

It is not an unprimeable number, because it can be changed into a prime (331010100001331) 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, 116799610440 + ... + 116799613273.

It is an arithmetic number, because the mean of its divisors is an integer number (44967850564945).

Almost surely, 2331010100001321 is an apocalyptic number.

It is an amenable number.

331010100001321 is a deficient number, since it is larger than the sum of its proper divisors (28732704518239).

331010100001321 is a wasteful number, since it uses less digits than its factorization.

331010100001321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233599223835.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 331010100001321 its reverse (123100001010133), we get a palindrome (454110101011454).

The spelling of 331010100001321 in words is "three hundred thirty-one trillion, ten billion, one hundred million, one thousand, three hundred twenty-one".

Divisors: 1 13 109 1417 233599223713 3036789908269 25462315384717 331010100001321