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100011130110 = 23451912315279
BaseRepresentation
bin101110100100100100…
…0001011110011111110
3100120010221120210220000
41131021020023303332
53114310322130420
6113540001335130
710140240402543
oct1351110136376
9316127523800
10100011130110
1139461748341
12174716374a6
13957ac087c8
144baa71abca
1529051d7690
hex174920bcfe

100011130110 has 160 divisors (see below), whose sum is σ = 283356057600. Its totient is φ = 25240662720.

The previous prime is 100011130073. The next prime is 100011130117. The reversal of 100011130110 is 11031110001.

It is a super-2 number, since 2×1000111301102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100011130092 and 100011130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011130117) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18942451 + ... + 18947729.

It is an arithmetic number, because the mean of its divisors is an integer number (1770975360).

Almost surely, 2100011130110 is an apocalyptic number.

100011130110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011130110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141678028800).

100011130110 is an abundant number, since it is smaller than the sum of its proper divisors (183344927490).

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

100011130110 is a wasteful number, since it uses less digits than its factorization.

100011130110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6548 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 100011130110 its reverse (11031110001), we get a palindrome (111042240111).

The spelling of 100011130110 in words is "one hundred billion, eleven million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1231 1539 1710 2462 2565 3078 3693 5130 5279 6155 7386 7695 10558 11079 12310 15390 15837 18465 22158 23389 26395 31674 33237 36930 46778 47511 52790 55395 66474 70167 79185 95022 99711 100301 110790 116945 140334 142533 158370 166185 199422 200602 210501 233890 237555 285066 300903 332370 350835 421002 427599 475110 498555 501505 601806 631503 701670 712665 855198 902709 997110 1003010 1052505 1263006 1425330 1504515 1805418 1894509 2105010 2137995 2708127 3009030 3157515 3789018 4275990 4513545 5416254 6315030 6498449 8124381 9027090 9472545 12996898 13540635 16248762 18945090 19495347 27081270 32492245 38990694 40621905 58486041 64984490 81243810 97476735 116972082 123470531 175458123 194953470 246941062 292430205 350916246 370411593 526374369 584860410 617352655 740823186 877290615 1052748738 1111234779 1234705310 1754581230 1852057965 2222469558 2631871845 3333704337 3704115930 5263743690 5556173895 6667408674 10001113011 11112347790 16668521685 20002226022 33337043370 50005565055 100011130110