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131115312105150 = 235217102595011967
BaseRepresentation
bin11101110011111110101001…
…100110100100011010111110
3122012020111112112111120222010
4131303332221212210122332
5114141143124344331100
61142505313131032050
736421524443163132
oct3563765146443276
9565214475446863
10131115312105150
113886076757247a
121285703889b626
1358211757550b9
14245402d0d13c2
15102592445e750
hex773fa99a46be

131115312105150 has 96 divisors (see below), whose sum is σ = 344327013089280. Its totient is φ = 32904158225920.

The previous prime is 131115312105143. The next prime is 131115312105161. The reversal of 131115312105150 is 51501213511131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23654467 + ... + 28666433.

It is an arithmetic number, because the mean of its divisors is an integer number (3586739719680).

Almost surely, 2131115312105150 is an apocalyptic number.

131115312105150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131115312105150 is an abundant number, since it is smaller than the sum of its proper divisors (213211700984130).

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

131115312105150 is a wasteful number, since it uses less digits than its factorization.

131115312105150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022258 (or 5022253 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 30.

Adding to 131115312105150 its reverse (51501213511131), we get a palindrome (182616525616281).

The spelling of 131115312105150 in words is "one hundred thirty-one trillion, one hundred fifteen billion, three hundred twelve million, one hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2550 10259 20518 30777 51295 61554 102590 153885 174403 256475 307770 348806 512950 523209 769425 872015 1046418 1538850 1744030 2616045 4360075 5011967 5232090 8720150 10023934 13080225 15035901 25059835 26160450 30071802 50119670 75179505 85203439 125299175 150359010 170406878 250598350 255610317 375897525 426017195 511220634 751795050 852034390 1278051585 2130085975 2556103170 4260171950 6390257925 12780515850 51417769453 102835538906 154253308359 257088847265 308506616718 514177694530 771266541795 874102080701 1285444236325 1542533083590 1748204161402 2570888472650 2622306242103 3856332708975 4370510403505 5244612484206 7712665417950 8741020807010 13111531210515 21852552017525 26223062421030 43705104035050 65557656052575 131115312105150