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331000111120220 = 225232998332523401
BaseRepresentation
bin100101101000010101111100…
…0000010110011111101011100
31121101222022010212011021002222
41023100223320002303331130
5321341101211421321340
63131551203555404512
7126501653214344063
oct11320537002637534
91541868125137088
10331000111120220
11965153a4632763
123115a0575b3738
131129023ab47ab9
145ba46c2cb31da
1528401149ed8b5
hex12d0af80b3f5c

331000111120220 has 96 divisors (see below), whose sum is σ = 750409690504320. Its totient is φ = 122264019046400.

The previous prime is 331000111120207. The next prime is 331000111120223. The reversal of 331000111120220 is 22021111000133.

It is a super-2 number, since 2×3310001111202202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331000111120223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129910520 + ... + 132433920.

It is an arithmetic number, because the mean of its divisors is an integer number (7816767609420).

Almost surely, 2331000111120220 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 331000111120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375204845252160).

331000111120220 is an abundant number, since it is smaller than the sum of its proper divisors (419409579384100).

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

331000111120220 is a wasteful number, since it uses less digits than its factorization.

331000111120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533295 (or 2533293 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 331000111120220 its reverse (22021111000133), we get a palindrome (353021222120353).

The spelling of 331000111120220 in words is "three hundred thirty-one trillion, one hundred eleven million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 29 46 58 92 115 116 145 230 290 460 580 667 1334 2668 3335 6670 9833 13340 19666 39332 49165 98330 196660 226159 285157 452318 570314 904636 1130795 1140628 1425785 2261590 2523401 2851570 4523180 5046802 5703140 6558611 10093604 12617005 13117222 25234010 26234444 32793055 50468020 58038223 65586110 73178629 116076446 131172220 146357258 232152892 290191115 292714516 365893145 580382230 731786290 1160764460 1463572580 1683108467 3366216934 6732433868 8415542335 16831084670 24812602033 33662169340 49625204066 99250408132 124063010165 248126020330 496252040660 570689846759 719565458957 1141379693518 1439130917914 2282759387036 2853449233795 2878261835828 3597827294785 5706898467590 7195654589570 11413796935180 14391309179140 16550005556011 33100011112022 66200022224044 82750027780055 165500055560110 331000111120220