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114301443100 = 2252132171313037
BaseRepresentation
bin110101001110011100…
…1011001110000011100
3101221000212022221000111
41222130321121300130
53333042132134400
6124302004335404
711154332143615
oct1523471316034
9357025287014
10114301443100
1144525203a69
121a19b3a4564
13aa17703200
1457645a4c0c
152e8ea643ba
hex1a9ce59c1c

114301443100 has 216 divisors, whose sum is σ = 286645434768. Its totient is φ = 39404851200.

The previous prime is 114301443097. The next prime is 114301443107. The reversal of 114301443100 is 1344103411.

It is a happy number.

114301443100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1143014431002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114301443107) 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 71 ways as a sum of consecutive naturals, for example, 37634782 + ... + 37637818.

It is an arithmetic number, because the mean of its divisors is an integer number (1327062198).

Almost surely, 2114301443100 is an apocalyptic number.

114301443100 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 114301443100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143322717384).

114301443100 is an abundant number, since it is smaller than the sum of its proper divisors (172343991668).

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

114301443100 is a wasteful number, since it uses less digits than its factorization.

114301443100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 3205 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 114301443100 its reverse (1344103411), we get a palindrome (115645546511).

The spelling of 114301443100 in words is "one hundred fourteen billion, three hundred one million, four hundred forty-three thousand, one hundred".