Search a number
-
+
330322120212 = 223719541382567
BaseRepresentation
bin1001100111010001011…
…10111000111000010100
31011120121201100022222110
410303220232320320110
520402444430321322
6411425313231020
732602455460230
oct4635056707024
91146551308873
10330322120212
111180a8252a87
1254028262470
13251c2b67c86
1411db827b5c0
1588d4715c0c
hex4ce8bb8e14

330322120212 has 96 divisors (see below), whose sum is σ = 928936314880. Its totient is φ = 89244996480.

The previous prime is 330322120187. The next prime is 330322120217. The reversal of 330322120212 is 212021223033.

It is a happy number.

It is a super-2 number, since 2×3303221202122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330322120217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672153 + ... + 1054719.

Almost surely, 2330322120212 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 330322120212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464468157440).

330322120212 is an abundant number, since it is smaller than the sum of its proper divisors (598614194668).

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

330322120212 is a wasteful number, since it uses less digits than its factorization.

330322120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383141 (or 383139 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 330322120212 its reverse (212021223033), we get a palindrome (542343343245).

The spelling of 330322120212 in words is "three hundred thirty billion, three hundred twenty-two million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 541 798 1082 1596 1623 2164 3246 3787 6492 7574 10279 11361 15148 20558 22722 30837 41116 45444 61674 71953 123348 143906 215859 287812 382567 431718 765134 863436 1147701 1530268 2295402 2677969 4590804 5355938 7268773 8033907 10711876 14537546 16067814 21806319 29075092 32135628 43612638 50881411 87225276 101762822 152644233 203525644 206968747 305288466 413937494 610576932 620906241 827874988 1241812482 1448781229 2483624964 2897562458 3932406193 4346343687 5795124916 7864812386 8692687374 11797218579 15729624772 17385374748 23594437158 27526843351 47188874316 55053686702 82580530053 110107373404 165161060106 330322120212