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2431320120 = 2332567100801
BaseRepresentation
bin1001000011101011…
…0000000000111000
320021102221212012100
42100322300000320
514434404220440
61041131343400
7114151610565
oct22072600070
96242855170
102431320120
111038464879
1257a2b1b60
132c9933778
14190c9386c
15e36b1230
hex90eb0038

2431320120 has 96 divisors (see below), whose sum is σ = 8019807120. Its totient is φ = 638668800.

The previous prime is 2431320107. The next prime is 2431320121. The reversal of 2431320120 is 210231342.

It is a super-2 number, since 2×24313201202 = 11822635051833628800, which 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 = 2431320093 and 2431320102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431320121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26281 + ... + 74520.

Almost surely, 22431320120 is an apocalyptic number.

2431320120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2431320120 is an abundant number, since it is smaller than the sum of its proper divisors (5588487000).

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

2431320120 is a wasteful number, since it uses less digits than its factorization.

2431320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100885 (or 100878 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2431320120 is about 49308.4183481888. The cubic root of 2431320120 is about 1344.6648363561.

Adding to 2431320120 its reverse (210231342), we get a palindrome (2641551462).

The spelling of 2431320120 in words is "two billion, four hundred thirty-one million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 2010 2412 2680 3015 4020 4824 6030 8040 12060 24120 100801 201602 302403 403204 504005 604806 806408 907209 1008010 1209612 1512015 1814418 2016020 2419224 3024030 3628836 4032040 4536045 6048060 6753667 7257672 9072090 12096120 13507334 18144180 20261001 27014668 33768335 36288360 40522002 54029336 60783003 67536670 81044004 101305005 121566006 135073340 162088008 202610010 243132012 270146680 303915015 405220020 486264024 607830030 810440040 1215660060 2431320120