Search a number
-
+
131331523212351 = 327211192949134451
BaseRepresentation
bin11101110111001000000000…
…110010011111010000111111
3122020000011121122211211220100
4131313020000302133100333
5114203213424420243401
61143152511401252143
736443250401235300
oct3567100062372077
9566004548754810
10131331523212351
1138934428058430
1212890b19494053
1358386814a32a7
1424606a01b87a7
15102b37abc9b86
hex777200c9f43f

131331523212351 has 144 divisors (see below), whose sum is σ = 262142128310400. Its totient is φ = 62404682256000.

The previous prime is 131331523212299. The next prime is 131331523212371. The reversal of 131331523212351 is 153212325133131.

131331523212351 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 3 + 1 + 523 + 2 + 123 + 5 + 1 = 666.

It is not a de Polignac number, because 131331523212351 - 231 = 131329375728703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131331523212371) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21894325 + ... + 27240126.

It is an arithmetic number, because the mean of its divisors is an integer number (1820431446600).

Almost surely, 2131331523212351 is an apocalyptic number.

131331523212351 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131331523212351 is a deficient number, since it is larger than the sum of its proper divisors (130810605098049).

131331523212351 is a wasteful number, since it uses less digits than its factorization.

131331523212351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49134530 (or 49134520 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

Adding to 131331523212351 its reverse (153212325133131), we get a palindrome (284543848345482).

The spelling of 131331523212351 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, five hundred twenty-three million, two hundred twelve thousand, three hundred fifty-one".

Divisors: 1 3 7 9 11 19 21 29 33 49 57 63 77 87 99 133 147 171 203 209 231 261 319 399 441 539 551 609 627 693 931 957 1197 1421 1463 1617 1653 1827 1881 2233 2793 2871 3857 4263 4389 4851 4959 6061 6699 8379 10241 11571 12789 13167 15631 18183 20097 26999 30723 34713 42427 46893 54549 80997 92169 127281 140679 242991 296989 381843 890967 2672901 49134451 147403353 343941157 442210059 540478961 933554569 1031823471 1424899079 1621436883 2407588099 2800663707 3095470413 3783352727 4274697237 4864310649 6534881983 7222764297 8401991121 9974293553 10269100259 11350058181 12824091711 15673889869 19604645949 21668292891 26483469089 27073082501 29922880659 30807300777 34050174543 45744173881 47021669607 58813937847 69820054871 71883701813 79450407267 81219247503 89768641977 92421902331 109717229083 137232521643 141065008821 189511577507 209460164613 215651105439 238351221801 243657742509 297803907511 329151687249 411697564929 503185912691 568534732521 628380493839 646953316317 768020603581 893411722533 987455061747 1326581042549 1509557738073 1705604197563 2084627352577 2304061810743 2680235167599 3979743127647 4528673214219 6253882057731 6912185432229 11939229382941 14592391468039 18761646173193 43777174404117 131331523212351