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114245020125 = 3253131976991
BaseRepresentation
bin110101001100110001…
…0001010100111011101
3101220212221011100020200
41222121202022213131
53332433211121000
6124252231134113
711153045435265
oct1523142124735
9356787140220
10114245020125
11444a6376605
121a184514339
13aa08b09432
14575acb87a5
152e89b1b500
hex1a9988a9dd

114245020125 has 48 divisors (see below), whose sum is σ = 206104504320. Its totient is φ = 60883692000.

The previous prime is 114245020121. The next prime is 114245020177. The reversal of 114245020125 is 521020542411.

It is a happy number.

114245020125 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 450 + 201 + 2 + 5 = 666.

It is not a de Polignac number, because 114245020125 - 22 = 114245020121 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114245020121) 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 47 ways as a sum of consecutive naturals, for example, 1445380 + ... + 1522370.

It is an arithmetic number, because the mean of its divisors is an integer number (4293843840).

Almost surely, 2114245020125 is an apocalyptic number.

114245020125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114245020125 is a deficient number, since it is larger than the sum of its proper divisors (91859484195).

114245020125 is a wasteful number, since it uses less digits than its factorization.

114245020125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78331 (or 78318 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 114245020125 its reverse (521020542411), we get a palindrome (635265562536).

The spelling of 114245020125 in words is "one hundred fourteen billion, two hundred forty-five million, twenty thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 1319 3957 6595 11871 19785 32975 59355 76991 98925 164875 230973 296775 384955 494625 692919 1154865 1483875 1924775 3464595 5774325 9623875 17322975 28871625 86614875 101551129 304653387 507755645 913960161 1523266935 2538778225 4569800805 7616334675 12693891125 22849004025 38081673375 114245020125