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114433144100 = 225211104030131
BaseRepresentation
bin110101010010010111…
…1110011010100100100
3101221101001011000211022
41222210233303110210
53333324341102400
6124323031230312
711160521450552
oct1524457632444
9357331130738
10114433144100
1144592587970
121a217518398
13aa38a95cb2
145777c88bd2
152e9b3cbb85
hex1aa4bf3524

114433144100 has 36 divisors (see below), whose sum is σ = 270894463728. Its totient is φ = 41612052000.

The previous prime is 114433144073. The next prime is 114433144103. The reversal of 114433144100 is 1441334411.

It is a happy number.

It is a super-2 number, since 2×1144331441002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114433144100.

It is not an unprimeable number, because it can be changed into a prime (114433144103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52013966 + ... + 52016165.

Almost surely, 2114433144100 is an apocalyptic number.

114433144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114433144100 is an abundant number, since it is smaller than the sum of its proper divisors (156461319628).

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

114433144100 is a wasteful number, since it uses less digits than its factorization.

114433144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104030156 (or 104030149 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 114433144100 its reverse (1441334411), we get a palindrome (115874478511).

The spelling of 114433144100 in words is "one hundred fourteen billion, four hundred thirty-three million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 104030131 208060262 416120524 520150655 1040301310 1144331441 2080602620 2288662882 2600753275 4577325764 5201506550 5721657205 10403013100 11443314410 22886628820 28608286025 57216572050 114433144100