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114121731204 = 2232132177913967
BaseRepresentation
bin110101001001000101…
…1110110110010000100
3101220120100011121122100
41222102023312302010
53332210130344304
6124232104432100
711150020465335
oct1522213666204
9356510147570
10114121731204
1144442818838
121a14b178630
13a9b9400500
14574878428c
152e7ddb6439
hex1a922f6c84

114121731204 has 216 divisors, whose sum is σ = 334957109760. Its totient is φ = 32628151296.

The previous prime is 114121731203. The next prime is 114121731257. The reversal of 114121731204 is 402137121411.

It is a happy number.

114121731204 is a `hidden beast` number, since 1 + 1 + 412 + 17 + 31 + 204 = 666.

It is not an unprimeable number, because it can be changed into a prime (114121731203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8163829 + ... + 8177795.

It is an arithmetic number, because the mean of its divisors is an integer number (1550727360).

Almost surely, 2114121731204 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 114121731204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167478554880).

114121731204 is an abundant number, since it is smaller than the sum of its proper divisors (220835378556).

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

114121731204 is a wasteful number, since it uses less digits than its factorization.

114121731204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14099 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 114121731204 its reverse (402137121411), we get a palindrome (516258852615).

The spelling of 114121731204 in words is "one hundred fourteen billion, one hundred twenty-one million, seven hundred thirty-one thousand, two hundred four".