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330100222130112 = 26371222072009789
BaseRepresentation
bin100101100001110010111001…
…0011110101111011111000000
31121021210021101001021001211010
41023003211302132233133000
5321231330223331130422
63130021540515320520
7126346645142212410
oct11303456236573700
91537707331231733
10330100222130112
11961a8799774285
12310337745b0140
1311226418388925
145b72d16546640
1528269e70edb0c
hex12c39727af7c0

330100222130112 has 112 divisors (see below), whose sum is σ = 998168859924480. Its totient is φ = 94313530493952.

The previous prime is 330100222130101. The next prime is 330100222130113. The reversal of 330100222130112 is 211031222001033.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330100222130113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163241314 + ... + 165251102.

Almost surely, 2330100222130112 is an apocalyptic number.

330100222130112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330100222130112 is an abundant number, since it is smaller than the sum of its proper divisors (668068637794368).

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

330100222130112 is a wasteful number, since it uses less digits than its factorization.

330100222130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132018 (or 2132008 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 330100222130112 its reverse (211031222001033), we get a palindrome (541131444131145).

The spelling of 330100222130112 in words is "three hundred thirty trillion, one hundred billion, two hundred twenty-two million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 122207 244414 366621 488828 733242 855449 977656 1466484 1710898 1955312 2009789 2566347 2932968 3421796 3910624 4019578 5132694 5865936 6029367 6843592 7821248 8039156 10265388 11731872 12058734 13687184 14068523 16078312 20530776 23463744 24117468 27374368 28137046 32156624 41061552 42205569 48234936 54748736 56274092 64313248 82123104 84411138 96469872 112548184 128626496 164246208 168822276 192939744 225096368 337644552 385879488 450192736 675289104 900385472 1350578208 2701156416 245610284323 491220568646 736830852969 982441137292 1473661705938 1719271990261 1964882274584 2947323411876 3438543980522 3929764549168 5157815970783 5894646823752 6877087961044 7859529098336 10315631941566 11789293647504 13754175922088 15719058196672 20631263883132 23578587295008 27508351844176 41262527766264 47157174590016 55016703688352 82525055532528 110033407376704 165050111065056 330100222130112