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1060205123131 = 71131797151457
BaseRepresentation
bin11110110110110010010…
…01100101011000111011
310202100120111222120021021
433123121021211120323
5114332300002420011
62131015043123311
7136411604566240
oct17333111453073
93670514876237
101060205123131
113796a3175000
12151584673537
1378c91384b5b
14394582535c7
151c8a1ed6471
hexf6d926563b

1060205123131 has 128 divisors (see below), whose sum is σ = 1438264332288. Its totient is φ = 762753024000.

The previous prime is 1060205123119. The next prime is 1060205123161. The reversal of 1060205123131 is 1313215020601.

It is a happy number.

It is not a de Polignac number, because 1060205123131 - 29 = 1060205122619 is a prime.

It is a super-2 number, since 2×10602051231312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1060205123096 and 1060205123105.

It is not an unprimeable number, because it can be changed into a prime (1060205123101) by changing a digit.

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, 2319923455 + ... + 2319923911.

It is an arithmetic number, because the mean of its divisors is an integer number (11236440096).

Almost surely, 21060205123131 is an apocalyptic number.

1060205123131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1060205123131 is a deficient number, since it is larger than the sum of its proper divisors (378059209157).

1060205123131 is a wasteful number, since it uses less digits than its factorization.

1060205123131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 1060205123131 in words is "one trillion, sixty billion, two hundred five million, one hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 11 17 77 97 119 121 151 187 457 679 847 1057 1067 1309 1331 1649 1661 2057 2567 3199 5027 7469 7769 9317 11543 11627 11737 14399 14647 17969 18139 18271 22627 28237 35189 44329 54383 55297 69007 82159 85459 102529 126973 127897 129107 158389 161117 197659 199529 200981 248999 310303 310607 387079 483049 487619 598213 608267 753593 759077 903749 940049 1127819 1173119 1396703 1406867 1742993 1772287 2174249 2194819 2738989 3413333 3416677 4257869 5275151 5313539 5363809 6580343 6693679 8211833 8289523 8349847 10340539 12406009 12904309 15363733 19172923 19495157 23916739 30128879 37546663 46855753 58026661 58448929 59001899 72383773 73630469 90330163 91184753 91848317 113792543 136466099 141947399 210902153 331417669 413013293 515413283 638293271 642938219 796547801 809935159 993631793 1003032283 1251717973 1561421389 2319923683 5669546113 7021225981 8762025811 8909286749 10929949723 13768897703 62365007243 96382283921 151457874733 1060205123131