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1323123300121 = 7297683407579
BaseRepresentation
bin10011010000010000010…
…010110101011100011001
311200111012201220210210011
4103100100102311130121
5133134224031100441
62451500124121521
7164410141325500
oct23202022653431
94614181823704
101323123300121
11470151677887
1219451b3962a1
1397a0189764c
144807a5b1837
152463de8d581
hex134104b5719

1323123300121 has 24 divisors (see below), whose sum is σ = 1557291445920. Its totient is φ = 1120767766272.

The previous prime is 1323123300097. The next prime is 1323123300143. The reversal of 1323123300121 is 1210033213231.

It is a de Polignac number, because none of the positive numbers 2k-1323123300121 is a prime.

It is a super-2 number, since 2×13231233001212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1323123300092 and 1323123300101.

It is not an unprimeable number, because it can be changed into a prime (1323123300181) 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, 3042510 + ... + 3450088.

It is an arithmetic number, because the mean of its divisors is an integer number (64887143580).

Almost surely, 21323123300121 is an apocalyptic number.

It is an amenable number.

1323123300121 is a deficient number, since it is larger than the sum of its proper divisors (234168145799).

1323123300121 is an equidigital number, since it uses as much as digits as its factorization.

1323123300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408373 (or 408366 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 1323123300121 its reverse (1210033213231), we get a palindrome (2533156513352).

The spelling of 1323123300121 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-three million, three hundred thousand, one hundred twenty-one".

Divisors: 1 7 49 97 679 683 4753 4781 33467 66251 407579 463757 2853053 3246299 19971371 39535163 276746141 278376457 1937222987 1948635199 13640446393 27002516329 189017614303 1323123300121