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131111055 = 34517137139
BaseRepresentation
bin1111101000010…
…01100010001111
3100010201010120000
413310021202033
5232031023210
621002055343
73151265655
oct764114217
9303633500
10131111055
1168010749
1237aaa553
132121740a
14135acdd5
15b79cac0
hex7d0988f

131111055 has 80 divisors (see below), whose sum is σ = 252473760. Its totient is φ = 64862208.

The previous prime is 131111011. The next prime is 131111081. The reversal of 131111055 is 550111131.

It is not a de Polignac number, because 131111055 - 27 = 131110927 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 943176 + ... + 943314.

It is an arithmetic number, because the mean of its divisors is an integer number (3155922).

Almost surely, 2131111055 is an apocalyptic number.

131111055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131111055 is a deficient number, since it is larger than the sum of its proper divisors (121362705).

131111055 is a wasteful number, since it uses less digits than its factorization.

131111055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 75, while the sum is 18.

The square root of 131111055 is about 11450.3735746918. The cubic root of 131111055 is about 508.0187840513.

Adding to 131111055 its reverse (550111131), we get a palindrome (681222186).

The spelling of 131111055 in words is "one hundred thirty-one million, one hundred eleven thousand, fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 137 139 153 255 405 411 417 459 685 695 765 1233 1251 1377 2055 2085 2295 2329 2363 3699 3753 6165 6255 6885 6987 7089 11097 11259 11645 11815 18495 18765 19043 20961 21267 34935 35445 55485 56295 57129 62883 63801 95215 104805 106335 171387 188649 191403 285645 314415 319005 323731 514161 856935 943245 957015 971193 1542483 1618655 2570805 2913579 4855965 7712415 8740737 14567895 26222211 43703685 131111055