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114112461 = 3192105367
BaseRepresentation
bin1101100110100…
…11011111001101
321221201111212110
412303103133031
5213203044321
615153454233
72553640251
oct663233715
9257644773
10114112461
1159460421
1232271379
131a845188
1411226261
15a041176
hex6cd37cd

114112461 has 12 divisors (see below), whose sum is σ = 160580832. Its totient is φ = 72070344.

The previous prime is 114112441. The next prime is 114112463. The reversal of 114112461 is 164211411.

It is not a de Polignac number, because 114112461 - 25 = 114112429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114112463) 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 11 ways as a sum of consecutive naturals, for example, 51601 + ... + 53766.

It is an arithmetic number, because the mean of its divisors is an integer number (13381736).

Almost surely, 2114112461 is an apocalyptic number.

It is an amenable number.

114112461 is a deficient number, since it is larger than the sum of its proper divisors (46468371).

114112461 is a wasteful number, since it uses less digits than its factorization.

114112461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105408 (or 105389 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 114112461 is about 10682.3434226765. The cubic root of 114112461 is about 485.0401511380.

Adding to 114112461 its reverse (164211411), we get a palindrome (278323872).

It can be divided in two parts, 114 and 112461, that added together give a triangular number (112575 = T474).

The spelling of 114112461 in words is "one hundred fourteen million, one hundred twelve thousand, four hundred sixty-one".

Divisors: 1 3 19 57 361 1083 105367 316101 2001973 6005919 38037487 114112461