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1233230204040 = 2335101505920113
BaseRepresentation
bin10001111100100010001…
…111111000110010001000
311100220011221012101021020
4101330202033320302020
5130201123413012130
62342312123112440
7155045410530252
oct21744217706210
94326157171236
101233230204040
1143601233323a
1217b012372720
138c3a6c65433
144398d980cd2
152212c1cbe10
hex11f223f8c88

1233230204040 has 128 divisors (see below), whose sum is σ = 3737245564800. Its totient is φ = 325524787200.

The previous prime is 1233230204027. The next prime is 1233230204053. The reversal of 1233230204040 is 404020323321.

It is an interprime number because it is at equal distance from previous prime (1233230204027) and next prime (1233230204053).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1233230204040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61305024 + ... + 61325136.

It is an arithmetic number, because the mean of its divisors is an integer number (29197230975).

Almost surely, 21233230204040 is an apocalyptic number.

1233230204040 is a gapful number since it is divisible by the number (10) 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 1233230204040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868622782400).

1233230204040 is an abundant number, since it is smaller than the sum of its proper divisors (2504015360760).

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

1233230204040 is a wasteful number, since it uses less digits than its factorization.

1233230204040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25287 (or 25283 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 1233230204040 its reverse (404020323321), we get a palindrome (1637250527361).

The spelling of 1233230204040 in words is "one trillion, two hundred thirty-three billion, two hundred thirty million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 5059 6060 10118 12120 15177 20113 20236 25295 30354 40226 40472 50590 60339 60708 75885 80452 100565 101180 120678 121416 151770 160904 201130 202360 241356 301695 303540 402260 482712 510959 603390 607080 804520 1021918 1206780 1532877 2031413 2043836 2413560 2554795 3065754 4062826 4087672 5109590 6094239 6131508 7664385 8125652 10157065 10219180 12188478 12263016 15328770 16251304 20314130 20438360 24376956 30471195 30657540 40628260 48753912 60942390 61315080 81256520 101751667 121884780 203503334 243769560 305255001 407006668 508758335 610510002 814013336 1017516670 1221020004 1526275005 2035033340 2442040008 3052550010 4070066680 6105100020 10276918367 12210200040 20553836734 30830755101 41107673468 51384591835 61661510202 82215346936 102769183670 123323020404 154153775505 205538367340 246646040808 308307551010 411076734680 616615102020 1233230204040