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114242112 = 2632198337
BaseRepresentation
bin1101100111100…
…11001001000000
321221222002201100
412303303021000
5213221221422
615200334400
72555020245
oct663631100
9257862640
10114242112
1159539876
1232314400
131a88c1aa
141125b5cc
15a0697ac
hex6cf3240

114242112 has 42 divisors (see below), whose sum is σ = 327456038. Its totient is φ = 38080512.

The previous prime is 114242077. The next prime is 114242123. The reversal of 114242112 is 211242411.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 14561856 = 9984^2 + 3816^2 .

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 5 ways as a sum of consecutive naturals, for example, 98593 + ... + 99744.

Almost surely, 2114242112 is an apocalyptic number.

114242112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114242112 is an abundant number, since it is smaller than the sum of its proper divisors (213213926).

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

114242112 is a wasteful number, since it uses less digits than its factorization.

114242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198355 (or 198342 counting only the distinct ones).

The product of its digits is 128, while the sum is 18.

The square root of 114242112 is about 10688.4101717702. The cubic root of 114242112 is about 485.2237774156.

Adding to 114242112 its reverse (211242411), we get a palindrome (325484523).

The spelling of 114242112 in words is "one hundred fourteen million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 198337 396674 595011 793348 1190022 1586696 1785033 2380044 3173392 3570066 4760088 6346784 7140132 9520176 12693568 14280264 19040352 28560528 38080704 57121056 114242112