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114143112 = 23322368927
BaseRepresentation
bin1101100110110…
…10111110001000
321221210001220200
412303122332020
5213210034422
615154252200
72554125516
oct663327610
9257701820
10114143112
1159481456
1232287060
131a856105
14112334b6
15a04a2ac
hex6cdaf88

114143112 has 48 divisors (see below), whose sum is σ = 322583040. Its totient is φ = 36392928.

The previous prime is 114143087. The next prime is 114143137. The reversal of 114143112 is 211341411.

It is an interprime number because it is at equal distance from previous prime (114143087) and next prime (114143137).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32808 + ... + 36119.

It is an arithmetic number, because the mean of its divisors is an integer number (6720480).

Almost surely, 2114143112 is an apocalyptic number.

114143112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114143112 is an abundant number, since it is smaller than the sum of its proper divisors (208439928).

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

114143112 is a wasteful number, since it uses less digits than its factorization.

114143112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68962 (or 68955 counting only the distinct ones).

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

The square root of 114143112 is about 10683.7779834663. Note that the first 3 decimals coincide. The cubic root of 114143112 is about 485.0835750686.

Adding to 114143112 its reverse (211341411), we get a palindrome (325484523).

It can be divided in two parts, 1141 and 43112, that added together give a triangular number (44253 = T297).

The spelling of 114143112 in words is "one hundred fourteen million, one hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 68927 137854 206781 275708 413562 551416 620343 827124 1240686 1585321 1654248 2481372 3170642 4755963 4962744 6341284 9511926 12682568 14267889 19023852 28535778 38047704 57071556 114143112