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131120312350545 = 33571131279668431
BaseRepresentation
bin11101110100000011010011…
…101000111111011101010001
3122012020222110000100101011000
4131310003103220333131101
5114141233344430204140
61142511501231412213
736422062400442060
oct3564032350773521
9565228400311130
10131120312350545
11388628a3027891
1212857bb3384069
13582179166b59b
1424543852181d7
151025b18413a30
hex7740d3a3f751

131120312350545 has 128 divisors (see below), whose sum is σ = 270876978708480. Its totient is φ = 58942461957120.

The previous prime is 131120312350541. The next prime is 131120312350583. The reversal of 131120312350545 is 545053213021131.

It is a happy number.

131120312350545 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 20 + 3 + 123 + 505 + 4 + 5 = 666.

It is not a de Polignac number, because 131120312350545 - 22 = 131120312350541 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131120312350541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8727480 + ... + 18395910.

It is an arithmetic number, because the mean of its divisors is an integer number (2116226396160).

Almost surely, 2131120312350545 is an apocalyptic number.

131120312350545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131120312350545 is an abundant number, since it is smaller than the sum of its proper divisors (139756666357935).

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

131120312350545 is a wasteful number, since it uses less digits than its factorization.

131120312350545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9668692 (or 9668686 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 131120312350545 its reverse (545053213021131), we get a palindrome (676173525371676).

The spelling of 131120312350545 in words is "one hundred thirty-one trillion, one hundred twenty billion, three hundred twelve million, three hundred fifty thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 113 127 135 189 315 339 381 565 635 791 889 945 1017 1143 1695 1905 2373 2667 3051 3429 3955 4445 5085 5715 7119 8001 11865 13335 14351 15255 17145 21357 24003 35595 40005 43053 71755 100457 106785 120015 129159 215265 301371 387477 502285 645795 904113 1506855 1937385 2712339 4520565 9668431 13561695 29005293 48342155 67679017 87015879 145026465 203037051 261047637 338395085 435079395 609111153 1015185255 1092532703 1227890737 1305238185 1827333459 3045555765 3277598109 3683672211 5462663515 6139453685 7647728921 8595235159 9136667295 9832794327 11051016633 16387990545 18418361055 22943186763 25785705477 29498382981 33153049899 38238644605 42976175795 49163971635 55255083165 68829560289 77357116431 114715933815 128928527385 138751653281 147491914905 165765249495 206488680867 232071349293 344147801445 386785582155 416254959843 693758266405 971261572967 1032443404335 1160356746465 1248764879529 2081274799215 2913784718901 3746294638587 4856307864835 6243824397645 8741354156703 14568923594505 18731473192935 26224062470109 43706770783515 131120312350545