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114221330124 = 223111722329672
BaseRepresentation
bin110101001100000011…
…1110010111011001100
3101220211021120202200020
41222120013302323030
53332411130030444
6124250023302140
711152340200236
oct1523007627314
9356737522606
10114221330124
1144493a659a0
121a1785aa950
13aa03c33595
145757aad256
152e879dc119
hex1a981f2ecc

114221330124 has 432 divisors, whose sum is σ = 338445838080. Its totient is φ = 29636597760.

The previous prime is 114221330033. The next prime is 114221330137. The reversal of 114221330124 is 421033122411.

It is a junction number, because it is equal to n+sod(n) for n = 114221330094 and 114221330103.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1704795939 + ... + 1704796005.

It is an arithmetic number, because the mean of its divisors is an integer number (783439440).

Almost surely, 2114221330124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114221330124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169222919040).

114221330124 is an abundant number, since it is smaller than the sum of its proper divisors (224224507956).

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

114221330124 is a wasteful number, since it uses less digits than its factorization.

114221330124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 114221330124 its reverse (421033122411), we get a palindrome (535254452535).

The spelling of 114221330124 in words is "one hundred fourteen billion, two hundred twenty-one million, three hundred thirty thousand, one hundred twenty-four".