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1114310106 = 232713739319
BaseRepresentation
bin100001001101011…
…0000010111011010
32212122202211002200
41002122300113122
54240230410411
6302323311030
736420323340
oct10232602732
92778684080
101114310106
11521aa9748
1227121b476
13149b212c0
14a7dc5990
1567c60e56
hex426b05da

1114310106 has 96 divisors (see below), whose sum is σ = 3012522240. Its totient is φ = 289827072.

The previous prime is 1114310083. The next prime is 1114310117. The reversal of 1114310106 is 6010134111.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114915 + ... + 124233.

It is an arithmetic number, because the mean of its divisors is an integer number (31380440).

Almost surely, 21114310106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1114310106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506261120).

1114310106 is an abundant number, since it is smaller than the sum of its proper divisors (1898212134).

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

1114310106 is a wasteful number, since it uses less digits than its factorization.

1114310106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9420 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1114310106 is about 33381.2837680039. The cubic root of 1114310106 is about 1036.7372183224.

Adding to 1114310106 its reverse (6010134111), we get a palindrome (7124444217).

The spelling of 1114310106 in words is "one billion, one hundred fourteen million, three hundred ten thousand, one hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 73 78 91 117 126 146 182 219 234 273 438 511 546 657 819 949 1022 1314 1533 1638 1898 2847 3066 4599 5694 6643 8541 9198 9319 13286 17082 18638 19929 27957 39858 55914 59787 65233 83871 119574 121147 130466 167742 195699 242294 363441 391398 587097 680287 726882 848029 1090323 1174194 1360574 1696058 2040861 2180646 2544087 4081722 4762009 5088174 6122583 7632261 8843731 9524018 12245166 14286027 15264522 17687462 26531193 28572054 42858081 53062386 61906117 79593579 85716162 123812234 159187158 185718351 371436702 557155053 1114310106