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235142011300 = 225271274915387
BaseRepresentation
bin1101101011111110001…
…1100101100110100100
3211110221110011211022111
43122333203211212210
512323032323330200
6300004525210404
722663016055310
oct3327743454644
9743843154274
10235142011300
11907a5598449
12396a4700a04
1319234aa57c1
14b5493d6b40
1561b37070ba
hex36bf8e59a4

235142011300 has 144 divisors (see below), whose sum is σ = 589050298368. Its totient is φ = 79807593600.

The previous prime is 235142011297. The next prime is 235142011303. The reversal of 235142011300 is 3110241532.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (235142011297) and next prime (235142011303).

It is not an unprimeable number, because it can be changed into a prime (235142011303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43647207 + ... + 43652593.

It is an arithmetic number, because the mean of its divisors is an integer number (4090627072).

Almost surely, 2235142011300 is an apocalyptic number.

235142011300 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 235142011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294525149184).

235142011300 is an abundant number, since it is smaller than the sum of its proper divisors (353908287068).

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

235142011300 is a wasteful number, since it uses less digits than its factorization.

235142011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 235142011300 its reverse (3110241532), we get a palindrome (238252252832).

The spelling of 235142011300 in words is "two hundred thirty-five billion, one hundred forty-two million, eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 127 140 175 254 350 491 508 635 700 889 982 1270 1778 1964 2455 2540 3175 3437 3556 4445 4910 5387 6350 6874 8890 9820 10774 12275 12700 13748 17185 17780 21548 22225 24550 26935 34370 37709 44450 49100 53870 62357 68740 75418 85925 88900 107740 124714 134675 150836 171850 188545 249428 269350 311785 343700 377090 436499 538700 623570 684149 754180 872998 942725 1247140 1368298 1558925 1745996 1885450 2182495 2645017 2736596 3117850 3420745 3770900 4364990 4789043 5290034 6235700 6841490 8729980 9578086 10580068 10912475 13225085 13682980 17103725 18515119 19156172 21824950 23945215 26450170 34207450 37030238 43649900 47890430 52900340 66125425 68414900 74060476 92575595 95780860 119726075 132250850 185151190 239452150 264501700 335917159 370302380 462877975 478904300 671834318 925755950 1343668636 1679585795 1851511900 2351420113 3359171590 4702840226 6718343180 8397928975 9405680452 11757100565 16795857950 23514201130 33591715900 47028402260 58785502825 117571005650 235142011300