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331121100230010 = 23256535634185813
BaseRepresentation
bin100101101001001110010001…
…1100011101000110101111010
31121102101212102210111212011100
41023102130203203220311322
5321400042003124330020
63132122533344112230
7126513465353662356
oct11322344343506572
91542355383455140
10331121100230010
1196561740852692
12311795a2605676
131129b77cc2851c
145baa4bd730466
152843346733a90
hex12d27238e8d7a

331121100230010 has 48 divisors (see below), whose sum is σ = 862233260231304. Its totient is φ = 88163739586176.

The previous prime is 331121100229987. The next prime is 331121100230017. The reversal of 331121100230010 is 10032001121133.

331121100230010 is a `hidden beast` number, since 3 + 311 + 2 + 110 + 0 + 230 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144589778653401 + 186531321576609 = 12024549^2 + 13657647^2 .

It is a super-3 number, since 3×3311211002300103 (a number of 45 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (331121100230017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2817034137 + ... + 2817151676.

Almost surely, 2331121100230010 is an apocalyptic number.

331121100230010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331121100230010 is an abundant number, since it is smaller than the sum of its proper divisors (531112160001294).

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

331121100230010 is a wasteful number, since it uses less digits than its factorization.

331121100230010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5634186479 (or 5634186476 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 331121100230010 its reverse (10032001121133), we get a palindrome (341153101351143).

The spelling of 331121100230010 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, one hundred million, two hundred thirty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 653 1306 1959 3265 3918 5877 6530 9795 11754 19590 29385 58770 5634185813 11268371626 16902557439 28170929065 33805114878 50707672317 56341858130 84512787195 101415344634 169025574390 253538361585 507076723170 3679123335889 7358246671778 11037370007667 18395616679445 22074740015334 33112110023001 36791233358890 55186850038335 66224220046002 110373700076670 165560550115005 331121100230010