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114343131210 = 2357211531011321
BaseRepresentation
bin110101001111101100…
…0011011100001001010
3101221010202202220100120
41222133120123201022
53333133320144320
6124310054044110
711155346402400
oct1523730334112
9357122686316
10114343131210
1144546797950
121a1b1349636
13aa2323b229
145769d37470
152e9354b440
hex1a9f61b84a

114343131210 has 384 divisors, whose sum is σ = 358603054848. Its totient is φ = 23063040000.

The previous prime is 114343131209. The next prime is 114343131211. The reversal of 114343131210 is 12131343411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114343131209) and next prime (114343131211).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114343131211) 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 191 ways as a sum of consecutive naturals, for example, 86557350 + ... + 86558670.

It is an arithmetic number, because the mean of its divisors is an integer number (933862122).

Almost surely, 2114343131210 is an apocalyptic number.

114343131210 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 114343131210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179301527424).

114343131210 is an abundant number, since it is smaller than the sum of its proper divisors (244259923638).

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

114343131210 is a wasteful number, since it uses less digits than its factorization.

114343131210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 114343131210 its reverse (12131343411), we get a palindrome (126474474621).

The spelling of 114343131210 in words is "one hundred fourteen billion, three hundred forty-three million, one hundred thirty-one thousand, two hundred ten".