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21530120667 = 311792107977
BaseRepresentation
bin10100000011010010…
…111001000111011011
32001120110201110012120
4110003102321013123
5323043202330132
613520225112323
71361352002046
oct240322710733
961513643176
1021530120667
119149212360
12420a4886a3
1320516b4a93
1410835c9c5d
1586026502c
hex5034b91db

21530120667 has 48 divisors (see below), whose sum is σ = 32047166592. Its totient is φ = 12749917440.

The previous prime is 21530120659. The next prime is 21530120671. The reversal of 21530120667 is 76602103512.

It is not a de Polignac number, because 21530120667 - 23 = 21530120659 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (21530120627) 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 47 ways as a sum of consecutive naturals, for example, 22036483 + ... + 22037459.

It is an arithmetic number, because the mean of its divisors is an integer number (667649304).

Almost surely, 221530120667 is an apocalyptic number.

21530120667 is a deficient number, since it is larger than the sum of its proper divisors (10517045925).

21530120667 is a wasteful number, since it uses less digits than its factorization.

21530120667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 21530120667 in words is "twenty-one billion, five hundred thirty million, one hundred twenty thousand, six hundred sixty-seven".

Divisors: 1 3 11 33 79 107 237 321 869 977 1177 2607 2931 3531 6241 8453 10747 18723 25359 32241 68651 77183 92983 104539 205953 231549 278949 313617 667787 849013 1149929 2003361 2547039 3449787 6097457 7345657 8258581 18292371 22036971 24775743 67072027 90844391 201216081 272533173 652427899 1957283697 7176706889 21530120667