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131050442344155 = 353114923922673491
BaseRepresentation
bin11101110011000010001111…
…000100000100011011011011
3122012000022002122121021222120
4131303002033010010123123
5114134112301220003110
61142415424142552323
736414040062255405
oct3563021704043333
9565008078537876
10131050442344155
11388361a9252954
1212846553b986a3
135818008139839
142450c3799db75
151023dc942e870
hex77308f1046db

131050442344155 has 128 divisors (see below), whose sum is σ = 218968178688000. Its totient is φ = 66855208358400.

The previous prime is 131050442344117. The next prime is 131050442344187. The reversal of 131050442344155 is 551443244050131.

It is not a de Polignac number, because 131050442344155 - 213 = 131050442335963 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37539511960 + ... + 37539515450.

It is an arithmetic number, because the mean of its divisors is an integer number (1710688896000).

Almost surely, 2131050442344155 is an apocalyptic number.

131050442344155 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131050442344155 is a deficient number, since it is larger than the sum of its proper divisors (87917736343845).

131050442344155 is a wasteful number, since it uses less digits than its factorization.

131050442344155 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6185.

The product of its (nonzero) digits is 576000, while the sum is 42.

Adding to 131050442344155 its reverse (551443244050131), we get a palindrome (682493686394286).

The spelling of 131050442344155 in words is "one hundred thirty-one trillion, fifty billion, four hundred forty-two million, three hundred forty-four thousand, one hundred fifty-five".

Divisors: 1 3 5 15 31 93 149 155 239 447 465 717 745 1195 2235 2267 3491 3585 4619 6801 7409 10473 11335 13857 17455 22227 23095 34005 35611 37045 52365 69285 70277 106833 108221 111135 178055 210831 324663 337783 351385 520159 534165 541105 541813 834349 1013349 1054155 1103941 1560477 1623315 1625439 1688915 2503047 2600795 2709065 3311823 4171745 5066745 5519705 7802385 7914097 8127195 10471273 12515235 16124929 16559115 16796203 23742291 25864819 31413819 39570485 48374787 50388609 52356365 77594457 80624645 80730137 83981015 118711455 124318001 129324095 157069095 241873935 242190411 245337007 251943045 372954003 387972285 403650685 621590005 736011021 1179200453 1210952055 1226685035 1864770015 1891469183 2502634247 3537601359 3680055105 3853858031 5674407549 5896002265 7507902741 9457345915 11561574093 12513171235 17688006795 19269290155 28372037745 36555214043 37539513705 57807870465 58635544673 109665642129 175906634019 182776070215 281828908267 293177723365 548328210645 845486724801 879533170095 1409144541335 4227433624005 8736696156277 26210088468831 43683480781385 131050442344155