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114314330130 = 2357112133747199
BaseRepresentation
bin110101001110110101…
…0100100000000010010
3101221001202120122200220
41222131222210000102
53333103432031010
6124303144453510
711154546526260
oct1523552440022
9357052518626
10114314330130
1144531506200
121a1a377a296
13aa1a295b80
14576619b430
152e90c5c970
hex1a9daa4012

114314330130 has 768 divisors, whose sum is σ = 391252377600. Its totient is φ = 20774983680.

The previous prime is 114314330101. The next prime is 114314330131. The reversal of 114314330130 is 31033413411.

It is a self number, because there is not a number n which added to its sum of digits gives 114314330130.

It is not an unprimeable number, because it can be changed into a prime (114314330131) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 574443771 + ... + 574443969.

It is an arithmetic number, because the mean of its divisors is an integer number (509443200).

Almost surely, 2114314330130 is an apocalyptic number.

114314330130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114314330130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195626188800).

114314330130 is an abundant number, since it is smaller than the sum of its proper divisors (276938047470).

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

114314330130 is a wasteful number, since it uses less digits than its factorization.

114314330130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 114314330130 its reverse (31033413411), we get a palindrome (145347743541).

It can be divided in two parts, 114314 and 330130, that added together give a palindrome (444444).

The spelling of 114314330130 in words is "one hundred fourteen billion, three hundred fourteen million, three hundred thirty thousand, one hundred thirty".