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1301133031321 = 192331275723039
BaseRepresentation
bin10010111011110001100…
…100100111011110011001
311121101110012100102000011
4102323301210213132121
5132304210024000241
62433422100241521
7163001201166604
oct22736144473631
94541405312004
101301133031321
11461897748412
121902029a02a1
1395908a71a86
1446d91c4533b
1523ca3633281
hex12ef1927799

1301133031321 has 16 divisors (see below), whose sum is σ = 1375659417600. Its totient is φ = 1227212512128.

The previous prime is 1301133031307. The next prime is 1301133031343. The reversal of 1301133031321 is 1231303311031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1301133031321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1301133031292 and 1301133031301.

It is not an unprimeable number, because it can be changed into a prime (1301133031021) 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 15 ways as a sum of consecutive naturals, for example, 56463720 + ... + 56486758.

It is an arithmetic number, because the mean of its divisors is an integer number (85978713600).

Almost surely, 21301133031321 is an apocalyptic number.

It is an amenable number.

1301133031321 is a deficient number, since it is larger than the sum of its proper divisors (74526386279).

1301133031321 is a wasteful number, since it uses less digits than its factorization.

1301133031321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36048.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 1301133031321 its reverse (1231303311031), we get a palindrome (2532436342352).

The spelling of 1301133031321 in words is "one trillion, three hundred one billion, one hundred thirty-three million, thirty-one thousand, three hundred twenty-one".

Divisors: 1 19 233 4427 12757 23039 242383 437741 2972381 5368087 56475239 101993653 293908523 5584261937 68480685859 1301133031321