Search a number
-
+
330023212112 = 241161290310589
BaseRepresentation
bin1001100110101101110…
…10101001010001010000
31011112211212220020011002
410303112322221101100
520401341420241422
6411335514441132
732562166006106
oct4632672512120
91145755806132
10330023212112
11117a645549a0
1253b641331a8
1325175c60189
1411d8a6adc76
1588b8370692
hex4cd6ea9450

330023212112 has 80 divisors (see below), whose sum is σ = 709295495040. Its totient is φ = 147486604800.

The previous prime is 330023212109. The next prime is 330023212147. The reversal of 330023212112 is 211212320033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31161314 + ... + 31171902.

It is an arithmetic number, because the mean of its divisors is an integer number (8866193688).

Almost surely, 2330023212112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330023212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354647747520).

330023212112 is an abundant number, since it is smaller than the sum of its proper divisors (379272282928).

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

330023212112 is a wasteful number, since it uses less digits than its factorization.

330023212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13572 (or 13566 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 330023212112 its reverse (211212320033), we get a palindrome (541235532145).

The spelling of 330023212112 in words is "three hundred thirty billion, twenty-three million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 176 244 488 671 976 1342 2684 2903 5368 5806 10589 10736 11612 21178 23224 31933 42356 46448 63866 84712 116479 127732 169424 177083 232958 255464 354166 465916 510928 645929 708332 931832 1291858 1416664 1863664 1947913 2583716 2833328 3895826 5167432 7105219 7791652 10334864 14210438 15583304 28420876 30739867 31166608 56841752 61479734 113683504 122959468 245918936 338138537 491837872 676277074 1352554148 1875131887 2705108296 3750263774 5410216592 7500527548 15001055096 20626450757 30002110192 41252901514 82505803028 165011606056 330023212112