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120102303321 = 327111319236929
BaseRepresentation
bin110111111011010100…
…1111011011001011001
3102111000010200011021100
41233312221323121121
53431432142201241
6131101345102013
711451150506550
oct1576651733131
9374003604240
10120102303321
1146a3168a120
121b33a027909
13b430456390
145b54b76d97
1531cde629b6
hex1bf6a7b659

120102303321 has 144 divisors (see below), whose sum is σ = 245836805760. Its totient is φ = 54558904320.

The previous prime is 120102303317. The next prime is 120102303329. The reversal of 120102303321 is 123303201021.

It is not a de Polignac number, because 120102303321 - 22 = 120102303317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 120102303294 and 120102303303.

It is not an unprimeable number, because it can be changed into a prime (120102303329) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3233785 + ... + 3270713.

It is an arithmetic number, because the mean of its divisors is an integer number (1707200040).

Almost surely, 2120102303321 is an apocalyptic number.

120102303321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120102303321 is an abundant number, since it is smaller than the sum of its proper divisors (125734502439).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120102303321 is a wasteful number, since it uses less digits than its factorization.

120102303321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37004 (or 36982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120102303321 its reverse (123303201021), we get a palindrome (243405504342).

The spelling of 120102303321 in words is "one hundred twenty billion, one hundred two million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 3 7 9 11 13 19 21 33 39 57 63 77 91 99 117 133 143 171 209 231 247 273 361 399 429 627 693 741 819 1001 1083 1197 1287 1463 1729 1881 2223 2527 2717 3003 3249 3971 4389 4693 5187 7581 8151 9009 11913 13167 14079 15561 19019 22743 24453 27797 32851 35739 36929 42237 51623 57057 83391 98553 110787 154869 171171 250173 258503 295659 332361 361361 406219 464607 480077 701651 775509 1084083 1218657 1440231 2104953 2326527 2843533 3252249 3360539 3655971 4320693 4911557 5280847 6314859 7718161 8530599 9121463 10081617 13331369 14734671 15842541 23154483 25591797 27364389 30244851 36965929 39994107 44204013 47527623 54027127 63850241 69463449 82093167 93319583 100336093 110897787 119982321 146645059 162081381 173307797 191550723 279958749 301008279 332693361 439935177 486244143 519923391 574652169 702352651 839876247 903024837 1026515413 1213154579 1319805531 1559770173 1906385767 2107057953 3079546239 3639463737 5719157301 6321173859 9238638717 10918391211 13344700369 17157471903 40034101107 120102303321