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114023100 = 22352438839
BaseRepresentation
bin1101100101111…
…01101010111100
321221112222021210
412302331222330
5213142214400
615151524420
72553115602
oct662755274
9257488253
10114023100
11593aa274
1232229710
131a8135b9
1411201872
15a024950
hex6cbdabc

114023100 has 72 divisors (see below), whose sum is σ = 337617280. Its totient is φ = 29695680.

The previous prime is 114023093. The next prime is 114023113. The reversal of 114023100 is 1320411.

It is a happy number.

It is a super-2 number, since 2×1140231002 = 26002534667220000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8481 + ... + 17319.

Almost surely, 2114023100 is an apocalyptic number.

114023100 is a gapful number since it is divisible by the number (10) 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 114023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168808640).

114023100 is an abundant number, since it is smaller than the sum of its proper divisors (223594180).

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

114023100 is a wasteful number, since it uses less digits than its factorization.

114023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114023100 is about 10678.1599538497. The cubic root of 114023100 is about 484.9135070900.

Adding to 114023100 its reverse (1320411), we get a palindrome (115343511).

The spelling of 114023100 in words is "one hundred fourteen million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 50 60 75 86 100 129 150 172 215 258 300 430 516 645 860 1075 1290 2150 2580 3225 4300 6450 8839 12900 17678 26517 35356 44195 53034 88390 106068 132585 176780 220975 265170 380077 441950 530340 662925 760154 883900 1140231 1325850 1520308 1900385 2280462 2651700 3800770 4560924 5701155 7601540 9501925 11402310 19003850 22804620 28505775 38007700 57011550 114023100