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330323000221120 = 2654282924101879
BaseRepresentation
bin100101100011011010101000…
…1000101101101110111000000
31121022120120101211112122222211
41023012311101011231313000
5321244003001024033440
63130312142535111504
7126402022610562124
oct11306652105556700
91538516354478884
10330323000221120
119628421a138385
123106a988512594
131124142c7ab65a
145b7da0b86d584
15282c6d514beea
hex12c6d5116ddc0

330323000221120 has 56 divisors (see below), whose sum is σ = 786600042544800. Its totient is φ = 132126109565952.

The previous prime is 330323000221091. The next prime is 330323000221153. The reversal of 330323000221120 is 21122000323033.

It is a super-2 number, since 2×3303230002211202 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330323000221091 and 330323000221100.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1654341 + ... + 25756219.

Almost surely, 2330323000221120 is an apocalyptic number.

It is an amenable number.

330323000221120 is an abundant number, since it is smaller than the sum of its proper divisors (456277042323680).

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

330323000221120 is a wasteful number, since it uses less digits than its factorization.

330323000221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24144725 (or 24144715 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 330323000221120 its reverse (21122000323033), we get a palindrome (351445000544153).

The spelling of 330323000221120 in words is "three hundred thirty trillion, three hundred twenty-three billion, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 42829 85658 171316 214145 342632 428290 685264 856580 1370528 1713160 2741056 3426320 6852640 13705280 24101879 48203758 96407516 120509395 192815032 241018790 385630064 482037580 771260128 964075160 1542520256 1928150320 3856300640 7712601280 1032259375691 2064518751382 4129037502764 5161296878455 8258075005528 10322593756910 16516150011056 20645187513820 33032300022112 41290375027640 66064600044224 82580750055280 165161500110560 330323000221120