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101311230321 = 32721272118573
BaseRepresentation
bin101111001011010011…
…1101011000101110001
3100200111112221202002200
41132112213223011301
53124441133332241
6114313003133413
710214405151300
oct1362647530561
9320445852080
10101311230321
1139a69603924
1217774b14269
13972737a282
144c91266437
15297e3e74b6
hex17969eb171

101311230321 has 72 divisors (see below), whose sum is σ = 172404071424. Its totient is φ = 57157410240.

The previous prime is 101311230311. The next prime is 101311230337. The reversal of 101311230321 is 123032113101.

101311230321 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 2 + 30 + 321 = 666.

It is not a de Polignac number, because 101311230321 - 29 = 101311229809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101311230294 and 101311230303.

It is not an unprimeable number, because it can be changed into a prime (101311230311) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11813191 + ... + 11821763.

It is an arithmetic number, because the mean of its divisors is an integer number (2394500992).

Almost surely, 2101311230321 is an apocalyptic number.

It is an amenable number.

101311230321 is a deficient number, since it is larger than the sum of its proper divisors (71092841103).

101311230321 is a wasteful number, since it uses less digits than its factorization.

101311230321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8931 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101311230321 its reverse (123032113101), we get a palindrome (224343343422).

The spelling of 101311230321 in words is "one hundred one billion, three hundred eleven million, two hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 127 147 211 381 441 633 889 1143 1477 1899 2667 4431 6223 8001 8573 10339 13293 18669 25719 26797 31017 56007 60011 77157 80391 93051 180033 187579 241173 420077 540099 562737 1088771 1260231 1313053 1688211 1808903 3266313 3780693 3939159 5426709 7621397 9798939 11817477 12662321 16280127 22864191 37986963 53349779 68592573 88636247 113960889 160049337 229730681 265908741 480148011 689192043 797726223 1608114767 2067576129 4824344301 11256803369 14473032903 33770410107 101311230321