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331131203002000 = 2453260549635449
BaseRepresentation
bin100101101001010010111110…
…1101110101001111010010000
31121102102211111212122211221201
41023102211331232221322100
5321400223200432031000
63132131324041400544
7126514303620063202
oct11322457556517220
91542384455584851
10331131203002000
1196565a55581825
123117b541a99154
131129c6cccba10b
145baab9b3a6772
15284373864296a
hex12d297dba9e90

331131203002000 has 80 divisors (see below), whose sum is σ = 800679581910000. Its totient is φ = 132451764403200.

The previous prime is 331131203001983. The next prime is 331131203002021. The reversal of 331131203002000 is 200302131133.

It can be written as a sum of positive squares in 8 ways, for example, as 131348469661696 + 199782733340304 = 11460736^2 + 14134452^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520780276 + ... + 521415724.

It is an arithmetic number, because the mean of its divisors is an integer number (10008494773875).

Almost surely, 2331131203002000 is an apocalyptic number.

It is an amenable number.

331131203002000 is an abundant number, since it is smaller than the sum of its proper divisors (469548378908000).

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

331131203002000 is a wasteful number, since it uses less digits than its factorization.

331131203002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896021 (or 896005 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 331131203002000 its reverse (200302131133), we get a palindrome (331331505133133).

The spelling of 331131203002000 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, two hundred three million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 260549 521098 635449 1042196 1270898 1302745 2084392 2541796 2605490 3177245 4168784 5083592 5210980 6354490 6513725 10167184 10421960 12708980 13027450 15886225 20843920 25417960 26054900 31772450 32568625 50835920 52109800 63544900 65137250 79431125 104219600 127089800 130274500 158862250 254179600 260549000 317724500 521098000 635449000 1270898000 165565601501 331131203002 662262406004 827828007505 1324524812008 1655656015010 2649049624016 3311312030020 4139140037525 6622624060040 8278280075050 13245248120080 16556560150100 20695700187625 33113120300200 41391400375250 66226240600400 82782800750500 165565601501000 331131203002000