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2014100112 = 2432912711393
BaseRepresentation
bin111100000001100…
…1011101010010000
312012100212212221110
41320003023222100
513111102200422
6531505053320
7100624365663
oct17003135220
95170785843
102014100112
119439a8252
12482627240
1326137321b
141516c96da
15bbc4a60c
hex780cba90

2014100112 has 80 divisors (see below), whose sum is σ = 5425367040. Its totient is φ = 643055616.

The previous prime is 2014100063. The next prime is 2014100159. The reversal of 2014100112 is 2110014102.

It is a happy number.

It is a super-2 number, since 2×20141001122 = 8113198522316825088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171088 + ... + 182480.

It is an arithmetic number, because the mean of its divisors is an integer number (67817088).

Almost surely, 22014100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2712683520).

2014100112 is an abundant number, since it is smaller than the sum of its proper divisors (3411266928).

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

2014100112 is a wasteful number, since it uses less digits than its factorization.

2014100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11560 (or 11554 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2014100112 is about 44878.7267199059. The cubic root of 2014100112 is about 1262.8749569812.

Adding to 2014100112 its reverse (2110014102), we get a palindrome (4124114214).

The spelling of 2014100112 in words is "two billion, fourteen million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 127 174 232 254 348 381 464 508 696 762 1016 1392 1524 2032 3048 3683 6096 7366 11049 11393 14732 22098 22786 29464 34179 44196 45572 58928 68358 88392 91144 136716 176784 182288 273432 330397 546864 660794 991191 1321588 1446911 1982382 2643176 2893822 3964764 4340733 5286352 5787644 7929528 8681466 11575288 15859056 17362932 23150576 34725864 41960419 69451728 83920838 125881257 167841676 251762514 335683352 503525028 671366704 1007050056 2014100112