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1330133323212 = 22353768354151
BaseRepresentation
bin10011010110110010000…
…111111100110111001100
311201011022021111212200000
4103112302013330313030
5133243103112320322
62455015501204300
7165045641461551
oct23266207746714
94634267455600
101330133323212
114731196479a1
12195956b60690
139857ac9c7c5
14485435baa28
15248ee5d73ac
hex135b21fcdcc

1330133323212 has 144 divisors (see below), whose sum is σ = 3586357861632. Its totient is φ = 430755019200.

The previous prime is 1330133323159. The next prime is 1330133323217. The reversal of 1330133323212 is 2123233310331.

1330133323212 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 1 + 3 + 332 + 321 + 2 = 666.

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 (1330133323217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24536337 + ... + 24590487.

It is an arithmetic number, because the mean of its divisors is an integer number (24905262928).

Almost surely, 21330133323212 is an apocalyptic number.

1330133323212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330133323212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793178930816).

1330133323212 is an abundant number, since it is smaller than the sum of its proper divisors (2256224538420).

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

1330133323212 is a wasteful number, since it uses less digits than its factorization.

1330133323212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54890 (or 54876 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 1330133323212 its reverse (2123233310331), we get a palindrome (3453366633543).

The spelling of 1330133323212 in words is "one trillion, three hundred thirty billion, one hundred thirty-three million, three hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 683 972 999 1332 1366 1998 2049 2732 2997 3996 4098 5994 6147 8196 8991 11988 12294 17982 18441 24588 25271 35964 36882 50542 54151 55323 73764 75813 101084 108302 110646 151626 162453 165969 216604 221292 227439 303252 324906 331938 454878 487359 649812 663876 682317 909756 974718 1364634 1462077 1949436 2003587 2046951 2729268 2924154 4007174 4093902 4386231 5848308 6010761 6140853 8014348 8187804 8772462 12021522 12281706 13158693 17544924 18032283 24043044 24563412 26317386 36064566 36985133 52634772 54096849 72129132 73970266 108193698 110955399 147940532 162290547 216387396 221910798 324581094 332866197 443821596 486871641 649162188 665732394 973743282 998598591 1331464788 1368449921 1947486564 1997197182 2736899842 2995795773 3994394364 4105349763 5473799684 5991591546 8210699526 8987387319 11983183092 12316049289 16421399052 17974774638 24632098578 35949549276 36948147867 49264197156 73896295734 110844443601 147792591468 221688887202 332533330803 443377774404 665066661606 1330133323212