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105120014110243 = 111729377326592699
BaseRepresentation
bin10111111001101100101001…
…000110011000111000100011
3111210012101010112011010210221
4113321230221012120320203
5102234241242103011433
61011323245014103511
731066445642045506
oct2771545106307043
9453171115133727
10105120014110243
1130549169546010
12b958b6804ab97
134686a0c2c4c12
141bd5b9b73513d
15c2462d33272d
hex5f9b29198e23

105120014110243 has 128 divisors (see below), whose sum is σ = 130868680320000. Its totient is φ = 83274097213440.

The previous prime is 105120014110201. The next prime is 105120014110351. The reversal of 105120014110243 is 342011410021501.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105120014110243 is a prime.

It is a super-2 number, since 2×1051200141102432 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105120014110543) 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, 38947762308 + ... + 38947765006.

It is an arithmetic number, because the mean of its divisors is an integer number (1022411565000).

Almost surely, 2105120014110243 is an apocalyptic number.

105120014110243 is a deficient number, since it is larger than the sum of its proper divisors (25748666209757).

105120014110243 is a wasteful number, since it uses less digits than its factorization.

105120014110243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525.

The product of its (nonzero) digits is 960, while the sum is 25.

Adding to 105120014110243 its reverse (342011410021501), we get a palindrome (447131424131744).

The spelling of 105120014110243 in words is "one hundred five trillion, one hundred twenty billion, fourteen million, one hundred ten thousand, two hundred forty-three".

Divisors: 1 11 17 29 37 73 187 319 407 493 629 803 1073 1241 2117 2659 2699 2701 5423 6919 11803 13651 18241 23287 29249 29689 29711 35989 45203 45883 45917 77111 78271 78329 98383 99863 194107 197027 200651 395879 497233 504713 505087 848221 860981 861619 1082213 1098493 1310887 1330607 1331593 1672511 1697671 2135177 2167297 2853107 2896027 3299819 3349459 5629103 5713783 7176641 7181959 7289999 14419757 14636677 14647523 18397621 18674381 31384177 31856297 36298009 36844049 48502819 49232459 61920133 62851613 78943051 79001549 80189989 95694751 97134311 122002897 122093303 123929983 208122589 208276811 211409971 265535717 523894793 533531009 541557049 1052642261 1068477421 1342031867 1343026333 1363229813 2289348479 2291044921 2325509681 2920892887 3538084013 3540705787 3593969507 4514107189 5762842723 7700535793 8906211481 15192948997 19384107341 38918924143 38947763657 39533664577 49655179079 84705893723 97968326291 130909108481 167122438967 213225180751 258280132949 329529824797 562139112889 1440000193291 2841081462439 3624828072767 6183530241779 9556364919113 105120014110243