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2013131230240 = 255136591468667
BaseRepresentation
bin11101010010110111111…
…110001100110000100000
321010110020120120110110211
4131102313332030300200
5230440343043331430
64140453020503504
7265305161056114
oct35226776146040
97113216513424
102013131230240
11706845108489
122861a96aab94
13117ab6b927b0
146d616819744
1537575c0272a
hex1d4b7f8cc20

2013131230240 has 96 divisors (see below), whose sum is σ = 5129646096960. Its totient is φ = 742181551104.

The previous prime is 2013131230153. The next prime is 2013131230247. The reversal of 2013131230240 is 420321313102.

It is not an unprimeable number, because it can be changed into a prime (2013131230247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 636387 + ... + 2105053.

It is an arithmetic number, because the mean of its divisors is an integer number (53433813510).

Almost surely, 22013131230240 is an apocalyptic number.

2013131230240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013131230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564823048480).

2013131230240 is an abundant number, since it is smaller than the sum of its proper divisors (3116514866720).

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

2013131230240 is a wasteful number, since it uses less digits than its factorization.

2013131230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469354 (or 1469346 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2013131230240 its reverse (420321313102), we get a palindrome (2433452543342).

The spelling of 2013131230240 in words is "two trillion, thirteen billion, one hundred thirty-one million, two hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 659 1040 1318 2080 2636 3295 5272 6590 8567 10544 13180 17134 21088 26360 34268 42835 52720 68536 85670 105440 137072 171340 274144 342680 685360 1370720 1468667 2937334 5874668 7343335 11749336 14686670 19092671 23498672 29373340 38185342 46997344 58746680 76370684 95463355 117493360 152741368 190926710 234986720 305482736 381853420 610965472 763706840 967851553 1527413680 1935703106 3054827360 3871406212 4839257765 7742812424 9678515530 12582070189 15485624848 19357031060 25164140378 30971249696 38714062120 50328280756 62910350945 77428124240 100656561512 125820701890 154856248480 201313123024 251641403780 402626246048 503282807560 1006565615120 2013131230240