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4232122141130 = 2513378913772161
BaseRepresentation
bin111101100101011110001…
…000110000100111001010
3112222120211212110020011022
4331211132020300213022
51023314341232004010
613000113213032442
7614521634440262
oct75453610604712
915876755406138
104232122141130
111391918687944
12584269185722
1324911a0506c0
14108b9b63a7a2
15751494e5d55
hex3d95e2309ca

4232122141130 has 128 divisors (see below), whose sum is σ = 8582509535040. Its totient is φ = 1492319600640.

The previous prime is 4232122141129. The next prime is 4232122141151. The reversal of 4232122141130 is 311412212324.

It is a happy number.

4232122141130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 19246845289 + 4212875295841 = 138733^2 + 2052529^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4232122141130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58612250 + ... + 58684410.

Almost surely, 24232122141130 is an apocalyptic number.

4232122141130 is an abundant number, since it is smaller than the sum of its proper divisors (4350387393910).

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

4232122141130 is a wasteful number, since it uses less digits than its factorization.

4232122141130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72444.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 4232122141130 its reverse (311412212324), we get a palindrome (4543534353454).

The spelling of 4232122141130 in words is "four trillion, two hundred thirty-two billion, one hundred twenty-two million, one hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 37 65 74 89 130 137 178 185 274 370 445 481 685 890 962 1157 1370 1781 2314 2405 3293 3562 4810 5069 5785 6586 8905 10138 11570 12193 16465 17810 24386 25345 32930 42809 50690 60965 65897 72161 85618 121930 131794 144322 158509 214045 317018 329485 360805 428090 451141 658970 721610 792545 902282 938093 1585090 1876186 2255705 2669957 4511410 4690465 5339914 5864833 6422329 9380930 9886057 11729666 12844658 13349785 19772114 26699570 29324165 32111645 34709441 49430285 58648330 64223290 69418882 83490277 98860570 128518741 166980554 173547205 237626173 257037482 347094410 365784109 417451385 475252346 642593705 731568218 834902770 879859073 1188130865 1285187410 1759718146 1828920545 2376261730 3089140249 3657841090 4399295365 4755193417 6178280498 8798590730 9510386834 11438167949 15445701245 22876335898 23775967085 30891402490 32554785701 47551934170 57190839745 65109571402 114381679490 162773928505 325547857010 423212214113 846424428226 2116061070565 4232122141130