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330100222122120 = 233521216112965791
BaseRepresentation
bin100101100001110010111001…
…0011110101101100010001000
31121021210021101001020122212010
41023003211302132231202020
5321231330223330401440
63130021540515215520
7126346645142150202
oct11303456236554210
91537707331218763
10330100222122120
11961a879976927a
12310337745a75a0
13112264183850b8
145b72d16543772
1528269e70eb580
hex12c39727ad888

330100222122120 has 64 divisors (see below), whose sum is σ = 990305410429440. Its totient is φ = 88026304204800.

The previous prime is 330100222122119. The next prime is 330100222122133. The reversal of 330100222122120 is 21221222001033.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18976425 + ... + 31942215.

It is an arithmetic number, because the mean of its divisors is an integer number (15473522037960).

Almost surely, 2330100222122120 is an apocalyptic number.

330100222122120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

330100222122120 is an abundant number, since it is smaller than the sum of its proper divisors (660205188307320).

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

330100222122120 is a wasteful number, since it uses less digits than its factorization.

330100222122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13177966 (or 13177962 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 330100222122120 its reverse (21221222001033), we get a palindrome (351321444123153).

The spelling of 330100222122120 in words is "three hundred thirty trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 212161 424322 636483 848644 1060805 1272966 1697288 2121610 2545932 3182415 4243220 5091864 6364830 8486440 12729660 12965791 25459320 25931582 38897373 51863164 64828955 77794746 103726328 129657910 155589492 194486865 259315820 311178984 388973730 518631640 777947460 1555894920 2750835184351 5501670368702 8252505553053 11003340737404 13754175921755 16505011106106 22006681474808 27508351843510 33010022212212 41262527765265 55016703687020 66020044424424 82525055530530 110033407374040 165050111061060 330100222122120