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33210000012 = 22372325231429
BaseRepresentation
bin11110111011011110…
…000110001010001100
310011201110110210120110
4132323132012022030
51021003230000022
623131221320020
72253655225320
oct367336061214
9104643423513
1033210000012
11130a21a7602
126529b66010
1331934254a7
1418708b7980
15ce585000c
hex7bb78628c

33210000012 has 144 divisors (see below), whose sum is σ = 92819767040. Its totient is φ = 9052331904.

The previous prime is 33209999993. The next prime is 33210000017. The reversal of 33210000012 is 21000001233.

It is a happy number.

It is a super-2 number, since 2×332100000122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (33210000017) 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 47 ways as a sum of consecutive naturals, for example, 23239314 + ... + 23240742.

Almost surely, 233210000012 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 33210000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46409883520).

33210000012 is an abundant number, since it is smaller than the sum of its proper divisors (59609767028).

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

33210000012 is a wasteful number, since it uses less digits than its factorization.

33210000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 33210000012 its reverse (21000001233), we get a palindrome (54210001245).

It can be divided in two parts, 33 and 210000012, that multiplied together give a palindrome (6930000396).

The spelling of 33210000012 in words is "thirty-three billion, two hundred ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 523 529 644 966 1046 1058 1429 1569 1587 1932 2092 2116 2858 3138 3174 3661 3703 4287 5716 6276 6348 7322 7406 8574 10003 10983 11109 12029 14644 14812 17148 20006 21966 22218 24058 30009 32867 36087 40012 43932 44436 48116 60018 65734 72174 84203 98601 120036 131468 144348 168406 197202 230069 252609 276667 336812 394404 460138 505218 553334 690207 747367 755941 830001 920276 1010436 1106668 1380414 1494734 1511882 1660002 1936669 2242101 2267823 2760828 2989468 3023764 3320004 3873338 4484202 4535646 5231569 5291587 5810007 7746676 8968404 9071292 10463138 10583174 11620014 15694707 15874761 17189441 20926276 21166348 23240028 31389414 31749522 34378882 51568323 62778828 63499044 68757764 103136646 120326087 206273292 240652174 360978261 395357143 481304348 721956522 790714286 1186071429 1443913044 1581428572 2372142858 2767500001 4744285716 5535000002 8302500003 11070000004 16605000006 33210000012