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3320012230020 = 22325171084971317
BaseRepresentation
bin110000010100000000001…
…001100100110110000100
3102202101112100201220212200
4300110000021210312010
5413343341112330040
611021105332114500
7461601666221403
oct60240011446604
912671470656780
103320012230020
111070011395652
12457535465a30
131b10ca729025
14b6991bc563a
155b563c87630
hex30500264d84

3320012230020 has 72 divisors (see below), whose sum is σ = 10663098113304. Its totient is φ = 833257970688.

The previous prime is 3320012230013. The next prime is 3320012230043. The reversal of 3320012230020 is 200322100233.

It is a happy number.

3320012230020 is a `hidden beast` number, since 3 + 320 + 0 + 1 + 22 + 300 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 780508639296 + 2539503590724 = 883464^2 + 1593582^2 .

It is a super-2 number, since 2×33200122300202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3320012229975 and 3320012230002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 542482599 + ... + 542488718.

It is an arithmetic number, because the mean of its divisors is an integer number (148098584907).

Almost surely, 23320012230020 is an apocalyptic number.

3320012230020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3320012230020 is an abundant number, since it is smaller than the sum of its proper divisors (7343085883284).

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

3320012230020 is a wasteful number, since it uses less digits than its factorization.

3320012230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084971349 (or 1084971344 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 3320012230020 its reverse (200322100233), we get a palindrome (3520334330253).

The spelling of 3320012230020 in words is "three trillion, three hundred twenty billion, twelve million, two hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 1084971317 2169942634 3254913951 4339885268 5424856585 6509827902 9764741853 10849713170 13019655804 16274569755 18444512389 19529483706 21699426340 32549139510 36889024778 39058967412 48823709265 55333537167 65098279020 73778049556 92222561945 97647418530 110667074334 166000611501 184445123890 195294837060 221334148668 276667685835 332001223002 368890247780 553335371670 664002446004 830003057505 1106670743340 1660006115010 3320012230020