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1004134010110 = 257113779446141
BaseRepresentation
bin11101001110010110000…
…11010000110011111110
310112222211211021220020121
432213023003100303332
5112422431301310420
62045143124405154
7132355243154440
oct16471303206376
93488754256217
101004134010110
1135793a51a980
121427365467ba
13738c68ab07a
14368594c2490
151b1be65d2aa
hexe9cb0d0cfe

1004134010110 has 128 divisors (see below), whose sum is σ = 2343637463040. Its totient is φ = 300662668800.

The previous prime is 1004134010063. The next prime is 1004134010123. The reversal of 1004134010110 is 110104314001.

It is a super-2 number, since 2×10041340101102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2027640 + ... + 2473780.

It is an arithmetic number, because the mean of its divisors is an integer number (18309667680).

Almost surely, 21004134010110 is an apocalyptic number.

1004134010110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1004134010110 is an abundant number, since it is smaller than the sum of its proper divisors (1339503452930).

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

1004134010110 is a wasteful number, since it uses less digits than its factorization.

1004134010110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446282.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1004134010110 its reverse (110104314001), we get a palindrome (1114238324111).

The spelling of 1004134010110 in words is "one trillion, four billion, one hundred thirty-four million, ten thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 14 22 35 37 55 70 74 77 79 110 154 158 185 259 370 385 395 407 518 553 770 790 814 869 1106 1295 1738 2035 2590 2765 2849 2923 4070 4345 5530 5698 5846 6083 8690 12166 14245 14615 20461 28490 29230 30415 32153 40922 60830 64306 102305 160765 204610 225071 321530 446141 450142 892282 1125355 2230705 2250710 3122987 4461410 4907551 6245974 9815102 15614935 16507217 24537755 31229870 33014434 34352857 35245139 49075510 68705714 70490278 82536085 115550519 165072170 171764285 176225695 181579387 231101038 246715973 343528570 352451390 363158774 387696529 493431946 577752595 775393058 907896935 1155505190 1233579865 1271055709 1304070143 1815793870 1938482645 2467159730 2542111418 2608140286 2713875703 3876965290 5427751406 6355278545 6520350715 9128491001 12710557090 13040701430 13569378515 14344771573 18256982002 27138757030 28689543146 45642455005 71723857865 91284910010 100413401011 143447715730 200826802022 502067005055 1004134010110