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114117012 = 2234438191
BaseRepresentation
bin1101100110101…
…00100110010100
321221201202010000
412303110212110
5213203221022
615153531300
72553656442
oct663244624
9257652100
10114117012
1159463889
1232273b30
131a847279
1411227b92
15a0426ac
hex6cd4994

114117012 has 60 divisors (see below), whose sum is σ = 305299456. Its totient is φ = 37149840.

The previous prime is 114117011. The next prime is 114117041. The reversal of 114117012 is 210711411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114117011) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 9837 + ... + 18027.

Almost surely, 2114117012 is an apocalyptic number.

114117012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114117012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152649728).

114117012 is an abundant number, since it is smaller than the sum of its proper divisors (191182444).

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

114117012 is a wasteful number, since it uses less digits than its factorization.

114117012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 18.

The square root of 114117012 is about 10682.5564356103. The cubic root of 114117012 is about 485.0465991291.

Adding to 114117012 its reverse (210711411), we get a palindrome (324828423).

The spelling of 114117012 in words is "one hundred fourteen million, one hundred seventeen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 258 324 387 516 774 1161 1548 2322 3483 4644 6966 8191 13932 16382 24573 32764 49146 73719 98292 147438 221157 294876 352213 442314 663471 704426 884628 1056639 1326942 1408852 2113278 2653884 3169917 4226556 6339834 9509751 12679668 19019502 28529253 38039004 57058506 114117012