Search a number
-
+
131331450110055 = 35136718161790011
BaseRepresentation
bin11101110111000111111100…
…011011101000000001100111
3122020000011102120021212101220
4131313013330123220001213
5114203213302212010210
61143152500230351423
736443245523001126
oct3567077433500147
9566004376255356
10131331450110055
113893439a868608
1212890ab8abb573
13583866c2b96b0
1424606945c9abd
15102b374589c70
hex7771fc6e8067

131331450110055 has 128 divisors (see below), whose sum is σ = 231317486539776. Its totient is φ = 63235236556800.

The previous prime is 131331450110033. The next prime is 131331450110089. The reversal of 131331450110055 is 550011054133131.

It is not a de Polignac number, because 131331450110055 - 212 = 131331450105959 is a prime.

It is a super-2 number, since 2×1313314501100552 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131331450109998 and 131331450110025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1459015000 + ... + 1459105010.

It is an arithmetic number, because the mean of its divisors is an integer number (1807167863592).

Almost surely, 2131331450110055 is an apocalyptic number.

131331450110055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131331450110055 is a deficient number, since it is larger than the sum of its proper divisors (99986036429721).

131331450110055 is a wasteful number, since it uses less digits than its factorization.

131331450110055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90897.

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 131331450110055 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, four hundred fifty million, one hundred ten thousand, fifty-five".

Divisors: 1 3 5 13 15 39 65 67 181 195 201 335 543 617 871 905 1005 1851 2353 2613 2715 3085 4355 7059 8021 9255 11765 12127 13065 24063 35295 36381 40105 41339 60635 90011 111677 120315 124017 157651 181905 206695 270033 335031 450055 472953 537407 558385 620085 788255 1170143 1350165 1451801 1612221 1675155 2364765 2687035 3510429 4355403 5850715 6030737 7259005 7482359 8061105 16291991 17552145 18092211 21777015 22447077 30153685 37411795 48875973 55536787 78399581 81459955 90461055 97270667 112235385 166610361 211795883 235198743 244379865 277683935 291812001 391997905 486353335 635387649 721978231 833051805 1058979415 1091563397 1175993715 1459060005 2165934693 3176938245 3274690191 3609891155 3720964729 5457816985 10052158447 10829673465 11162894187 14190324161 16373450955 18604823645 30156475341 42570972483 48372541477 50260792235 55814470935 70951620805 130678059811 145117624431 150782376705 212854862415 241862707385 392034179433 653390299055 673494615949 725588122155 1960170897165 2020483847847 3367473079745 8755430007337 10102419239235 26266290022011 43777150036685 131331450110055