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330031213020200 = 235234746110315603
BaseRepresentation
bin100101100001010010110000…
…1001101111000010000101000
31121021112200020200110001121102
41023002211201031320100220
5321224212411013121300
63125530125102500532
7126341653056362216
oct11302454115702050
91537480220401542
10330031213020200
11961814a694363a
1231022315594748
131121ca6b30ba93
145b6d84b389cb6
152824d089c00d5
hex12c2961378428

330031213020200 has 96 divisors (see below), whose sum is σ = 771203220147360. Its totient is φ = 131346497145600.

The previous prime is 330031213020191. The next prime is 330031213020281. The reversal of 330031213020200 is 2020312130033.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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, 26835599 + ... + 37151201.

It is an arithmetic number, because the mean of its divisors is an integer number (8033366876535).

Almost surely, 2330031213020200 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 330031213020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385601610073680).

330031213020200 is an abundant number, since it is smaller than the sum of its proper divisors (441172007127160).

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

330031213020200 is a wasteful number, since it uses less digits than its factorization.

330031213020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10316427 (or 10316418 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 330031213020200 its reverse (2020312130033), we get a palindrome (332051525150233).

The spelling of 330031213020200 in words is "three hundred thirty trillion, thirty-one billion, two hundred thirteen million, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 347 461 694 922 1388 1735 1844 2305 2776 3470 3688 4610 6940 8675 9220 11525 13880 17350 18440 23050 34700 46100 69400 92200 159967 319934 639868 799835 1279736 1599670 3199340 3999175 6398680 7998350 10315603 15996700 20631206 31993400 41262412 51578015 82524824 103156030 206312060 257890075 412624120 515780150 1031560300 2063120600 3579514241 4755492983 7159028482 9510985966 14318056964 17897571205 19021971932 23777464915 28636113928 35795142410 38043943864 47554929830 71590284820 89487856025 95109859660 118887324575 143180569640 178975712050 190219719320 237774649150 357951424100 475549298300 715902848200 951098596600 1650156065101 3300312130202 6600624260404 8250780325505 13201248520808 16501560651010 33003121302020 41253901627525 66006242604040 82507803255050 165015606510100 330031213020200