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3033212213332 = 2272237930727743
BaseRepresentation
bin101100001000111001100…
…010010101100001010100
3101201222020202220112010101
4230020321202111201110
5344144004311311312
610241234412303444
7432066553261300
oct54107142254124
911658222815111
103033212213332
11a6a418245174
1240ba34771b84
1319005254b942
14a6b45bc8d00
1553d7a37ea57
hex2c239895854

3033212213332 has 144 divisors (see below), whose sum is σ = 6546270044160. Its totient is φ = 1223645911488.

The previous prime is 3033212213303. The next prime is 3033212213333. The reversal of 3033212213332 is 2333122123303.

It is a super-2 number, since 2×30332122133322 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3033212213332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033212213333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109318653 + ... + 109346395.

It is an arithmetic number, because the mean of its divisors is an integer number (45460208640).

Almost surely, 23033212213332 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 3033212213332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3273135022080).

3033212213332 is an abundant number, since it is smaller than the sum of its proper divisors (3513057830828).

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

3033212213332 is a wasteful number, since it uses less digits than its factorization.

3033212213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28170 (or 28161 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 3033212213332 its reverse (2333122123303), we get a palindrome (5366334336635).

The spelling of 3033212213332 in words is "three trillion, thirty-three billion, two hundred twelve million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 23 28 46 49 79 92 98 158 161 196 307 316 322 553 614 644 1106 1127 1228 1817 2149 2212 2254 3634 3871 4298 4508 7061 7268 7742 8596 12719 14122 15043 15484 24253 25438 27743 28244 30086 48506 49427 50876 55486 60172 89033 97012 98854 110972 169771 178066 194201 197708 339542 345989 356132 388402 557819 638089 679084 691978 776804 1115638 1188397 1276178 1359407 1383956 2191697 2231276 2376794 2552356 2718814 3904733 4383394 4466623 4753588 5437628 7809466 8517101 8766788 8933246 15341879 15618932 17034202 17866492 27333131 30683758 31266361 34068404 50409031 54666262 59619707 61367516 62532722 100818062 107393153 109332524 119239414 125065444 195893323 201636124 214786306 238478828 352863217 391786646 417337949 429572612 672850979 705726434 783573292 834675898 1345701958 1371253261 1411452868 1669351796 2470042519 2691403916 2742506522 4709956853 4940085038 5485013044 9419913706 9598772827 9880170076 15475572517 18839827412 19197545654 30951145034 32969697971 38395091308 61902290068 65939395942 108329007619 131878791884 216658015238 433316030476 758303053333 1516606106666 3033212213332