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114213114 = 232311971039
BaseRepresentation
bin1101100111011…
…00000011111010
321221220121221100
412303230003322
5213214304424
615155552230
72554536561
oct663540372
9257817840
10114213114
115951a004
12322bb676
131a87bc32
1411250bd8
15a060dc9
hex6cec0fa

114213114 has 48 divisors (see below), whose sum is σ = 256988160. Its totient is φ = 36620640.

The previous prime is 114213109. The next prime is 114213131. The reversal of 114213114 is 411312411.

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 23 ways as a sum of consecutive naturals, for example, 109407 + ... + 110445.

It is an arithmetic number, because the mean of its divisors is an integer number (5353920).

Almost surely, 2114213114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114213114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128494080).

114213114 is an abundant number, since it is smaller than the sum of its proper divisors (142775046).

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

114213114 is a wasteful number, since it uses less digits than its factorization.

114213114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1272 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 114213114 is about 10687.0535696234. The cubic root of 114213114 is about 485.1827192642.

Adding to 114213114 its reverse (411312411), we get a palindrome (525525525).

It can be divided in two parts, 11421 and 3114, that added together give a triangular number (14535 = T170).

The spelling of 114213114 in words is "one hundred fourteen million, two hundred thirteen thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 186 197 279 394 558 591 1039 1182 1773 2078 3117 3546 6107 6234 9351 12214 18321 18702 32209 36642 54963 64418 96627 109926 193254 204683 289881 409366 579762 614049 1228098 1842147 3684294 6345173 12690346 19035519 38071038 57106557 114213114