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114123000000 = 26356109349
BaseRepresentation
bin110101001001001000…
…0101100100011000000
3101220120102120002002210
41222102100230203000
53332210442000000
6124232151542120
711150034331422
oct1522220544300
9356512502083
10114123000000
1144443505029
121a14b68a940
13a9b9755b89
1457489d4812
152e7e067350
hex1a9242c8c0

114123000000 has 392 divisors, whose sum is σ = 381987298000. Its totient is φ = 30067200000.

The previous prime is 114122999933. The next prime is 114123000037. The reversal of 114123000000 is 321411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 114123000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 326999826 + ... + 327000174.

Almost surely, 2114123000000 is an apocalyptic number.

114123000000 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 114123000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190993649000).

114123000000 is an abundant number, since it is smaller than the sum of its proper divisors (267864298000).

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

114123000000 is an frugal number, since it uses more digits than its factorization.

114123000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 114123000000 its reverse (321411), we get a palindrome (114123321411).

The spelling of 114123000000 in words is "one hundred fourteen billion, one hundred twenty-three million", and thus it is an aban number.