Search a number
-
+
120023323209 = 33193834211451
BaseRepresentation
bin110111111000111110…
…0101001001001001001
3102110210122001112221000
41233301330221021021
53431301432320314
6131045444205213
711446201262046
oct1576174511111
9373718045830
10120023323209
11469a10451a9
121b317699809
13b419c9229a
145b484981cd
1531c7061209
hex1bf1f29249

120023323209 has 64 divisors (see below), whose sum is σ = 188234956800. Its totient is φ = 75374712000.

The previous prime is 120023323201. The next prime is 120023323213. The reversal of 120023323209 is 902323320021.

120023323209 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 332 + 320 + 9 = 666.

It is not a de Polignac number, because 120023323209 - 23 = 120023323201 is a prime.

It is a super-2 number, since 2×1200233232092 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120023323201) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82716934 + ... + 82718384.

It is an arithmetic number, because the mean of its divisors is an integer number (2941171200).

Almost surely, 2120023323209 is an apocalyptic number.

120023323209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

120023323209 is a deficient number, since it is larger than the sum of its proper divisors (68211633591).

120023323209 is a wasteful number, since it uses less digits than its factorization.

120023323209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 120023323209 in words is "one hundred twenty billion, twenty-three million, three hundred twenty-three thousand, two hundred nine".

Divisors: 1 3 9 19 27 57 171 383 421 513 1149 1263 1451 3447 3789 4353 7277 7999 10341 11367 13059 21831 23997 27569 39177 65493 71991 82707 161243 196479 215973 248121 483729 555733 610871 744363 1451187 1667199 1832613 3063617 4353561 5001597 5497839 9190851 10558927 11606549 15004791 16493517 27572553 31676781 34819647 82717659 95030343 104458941 233963593 285091029 313376823 701890779 2105672337 4445308267 6317017011 13335924801 40007774403 120023323209