Search a number
-
+
3311313012 = 2232741536047
BaseRepresentation
bin1100010101011110…
…1010000001110100
322112202211010111200
43011113222001310
523240144004022
61304324532500
7145025460540
oct30527520164
98482733450
103311313012
11144a171527
12784b51130
1340a043717
14235ac2a20
15145a89bac
hexc55ea074

3311313012 has 144 divisors (see below), whose sum is σ = 9985876992. Its totient is φ = 905448960.

The previous prime is 3311312941. The next prime is 3311313017. The reversal of 3311313012 is 2103131133.

It is a happy number.

3311313012 is a `hidden beast` number, since 331 + 1 + 31 + 301 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3311313017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544573 + ... + 550619.

It is an arithmetic number, because the mean of its divisors is an integer number (69346368).

Almost surely, 23311313012 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 3311313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992938496).

3311313012 is an abundant number, since it is smaller than the sum of its proper divisors (6674563980).

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

3311313012 is a wasteful number, since it uses less digits than its factorization.

3311313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 3311313012 is about 57544.0093493667. The cubic root of 3311313012 is about 1490.5049130373.

Adding to 3311313012 its reverse (2103131133), we get a palindrome (5414444145).

The spelling of 3311313012 in words is "three billion, three hundred eleven million, three hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 53 63 82 84 106 123 126 159 164 212 246 252 287 318 369 371 477 492 574 636 738 742 861 954 1113 1148 1476 1484 1722 1908 2173 2226 2583 3339 3444 4346 4452 5166 6047 6519 6678 8692 10332 12094 13038 13356 15211 18141 19557 24188 26076 30422 36282 39114 42329 45633 54423 60844 72564 78228 84658 91266 108846 126987 136899 169316 182532 217692 247927 253974 273798 320491 380961 495854 507948 547596 640982 743781 761922 961473 991708 1281964 1487562 1523844 1735489 1922946 2231343 2243437 2884419 2975124 3470978 3845892 4462686 4486874 5206467 5768838 6730311 6941956 8925372 8973748 10412934 11537676 13140131 13460622 15619401 20190933 20825868 26280262 26921244 31238802 39420393 40381866 52560524 62477604 78840786 80763732 91980917 118261179 157681572 183961834 236522358 275942751 367923668 473044716 551885502 827828253 1103771004 1655656506 3311313012