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42130311303124 = 221143107493342187
BaseRepresentation
bin10011001010001001110100…
…01111010100111111010100
312112011121200211110221111201
421211010322033110333110
521010230334143144444
6225334221532442244
711605546250253322
oct1145047217247724
9175147624427451
1042130311303124
11124734014396a0
124885178019384
131a67b4335b195
14a5919190ad12
154d0d8d050dd4
hex26513a3d4fd4

42130311303124 has 96 divisors (see below), whose sum is σ = 83089051347456. Its totient is φ = 18525782782080.

The previous prime is 42130311303121. The next prime is 42130311303133.

42130311303124 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42130311303092 and 42130311303101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42130311303121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 998635159 + ... + 998677345.

It is an arithmetic number, because the mean of its divisors is an integer number (865510951536).

Almost surely, 242130311303124 is an apocalyptic number.

42130311303124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42130311303124 is a deficient number, since it is larger than the sum of its proper divisors (40958740044332).

42130311303124 is a wasteful number, since it uses less digits than its factorization.

42130311303124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47285 (or 47283 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 4213031 and 1303124, that added together give a palindrome (5516155).

The spelling of 42130311303124 in words is "forty-two trillion, one hundred thirty billion, three hundred eleven million, three hundred three thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 43 44 86 107 172 214 428 473 946 1177 1892 2354 4601 4708 4933 9202 9866 18404 19732 42187 50611 54263 84374 101222 108526 168748 202444 212119 217052 424238 464057 527831 848476 928114 1055662 1814041 1856228 2111324 2333309 3628082 4514009 4666618 5806141 7256164 9028018 9333236 11612282 18056036 19954451 22696733 23224564 39908902 45393466 49654099 79817804 90786932 99308198 194102387 198616396 208108471 249664063 388204774 416216942 499328126 776409548 832433884 998656252 2135126257 2289193181 4270252514 4578386362 8540505028 8948664253 9156772724 17897328506 22267606397 35794657012 44535212794 89070425588 98435306783 196870613566 244943670367 393741227132 489887340734 957507075071 979774681468 1915014150142 3830028300284 10532577825781 21065155651562 42130311303124