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6101328321 = 361122632
BaseRepresentation
bin1011010111010101…
…01110000111000001
3120202012201121000000
411223222232013001
544443420001241
62445232350213
7304124302134
oct55352560701
916665647000
106101328321
11265104a300
1212233a5369
1376308605a
1441c46821b
1525a9a0eb6
hex16baae1c1

6101328321 has 63 divisors (see below), whose sum is σ = 10093405777. Its totient is φ = 3683714760.

The previous prime is 6101328269. The next prime is 6101328341. The reversal of 6101328321 is 1238231016.

It is a happy number.

The square root of 6101328321 is 78111.

It is a perfect power (a square), and thus also a powerful number.

6101328321 is a `hidden beast` number, since 6 + 10 + 1 + 328 + 321 = 666.

It is not a de Polignac number, because 6101328321 - 219 = 6100804033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6101328341) 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 62 ways as a sum of consecutive naturals, for example, 23198836 + ... + 23199098.

Almost surely, 26101328321 is an apocalyptic number.

6101328321 is the 78111-st square number.

6101328321 is the 39056-th centered octagonal number.

It is an amenable number.

6101328321 is a deficient number, since it is larger than the sum of its proper divisors (3992077456).

6101328321 is an frugal number, since it uses more digits than its factorization.

6101328321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 6101328321 is about 1827.2927532040.

Adding to 6101328321 its reverse (1238231016), we get a palindrome (7339559337).

The spelling of 6101328321 in words is "six billion, one hundred one million, three hundred twenty-eight thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 99 121 243 263 297 363 729 789 891 1089 2367 2673 2893 3267 7101 8019 8679 9801 21303 26037 29403 31823 63909 69169 78111 88209 95469 191727 207507 234333 286407 622521 702999 760859 859221 1867563 2108997 2282577 2577663 5602689 6847731 7732989 8369449 16808067 20543193 23198967 25108347 50424201 61629579 75325041 184888737 225975123 554666211 677925369 2033776107 6101328321