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34021213300 = 22521636773083
BaseRepresentation
bin11111101011110100…
…101000010001110100
310020210222220201000001
4133223310220101310
51024133412311200
623343520401044
72313035353534
oct375364502164
9106728821001
1034021213300
11134790a7108
126715776184
133292503259
14190a5214c4
15d41b8e76a
hex7ebd28474

34021213300 has 72 divisors (see below), whose sum is σ = 74412799776. Its totient is φ = 13500639360.

The previous prime is 34021213273. The next prime is 34021213309. The reversal of 34021213300 is 331212043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34021213309) 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 23 ways as a sum of consecutive naturals, for example, 11033559 + ... + 11036641.

It is an arithmetic number, because the mean of its divisors is an integer number (1033511108).

Almost surely, 234021213300 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 34021213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37206399888).

34021213300 is an abundant number, since it is smaller than the sum of its proper divisors (40391586476).

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

34021213300 is a wasteful number, since it uses less digits than its factorization.

34021213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3937 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 34021213300 its reverse (331212043), we get a palindrome (34352425343).

The spelling of 34021213300 in words is "thirty-four billion, twenty-one million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 163 326 652 677 815 1354 1630 2708 3083 3260 3385 4075 6166 6770 8150 12332 13540 15415 16300 16925 30830 33850 61660 67700 77075 110351 154150 220702 308300 441404 502529 551755 1005058 1103510 2010116 2087191 2207020 2512645 2758775 4174382 5025290 5517550 8348764 10050580 10435955 11035100 12563225 20871910 25126450 41743820 50252900 52179775 104359550 208719100 340212133 680424266 1360848532 1701060665 3402121330 6804242660 8505303325 17010606650 34021213300