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114105541 = 1121496329
BaseRepresentation
bin1101100110100…
…01110011000101
321221201011101011
412303101303011
5213202334131
615153402221
72553611134
oct663216305
9257634334
10114105541
1159456200
1232269371
131a841c94
141122391b
15a03e0b1
hex6cd1cc5

114105541 has 12 divisors (see below), whose sum is σ = 126283500. Its totient is φ = 103019840.

The previous prime is 114105533. The next prime is 114105557. The reversal of 114105541 is 145501411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 66080641 = 6930^2 + 8129^2 .

It is not a de Polignac number, because 114105541 - 23 = 114105533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114105571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14865 + ... + 21193.

It is an arithmetic number, because the mean of its divisors is an integer number (10523625).

Almost surely, 2114105541 is an apocalyptic number.

114105541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114105541 is a deficient number, since it is larger than the sum of its proper divisors (12177959).

114105541 is a wasteful number, since it uses less digits than its factorization.

114105541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6500 (or 6489 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 22.

The square root of 114105541 is about 10682.0195187989. The cubic root of 114105541 is about 485.0303463493.

Adding to 114105541 its reverse (145501411), we get a palindrome (259606952).

The spelling of 114105541 in words is "one hundred fourteen million, one hundred five thousand, five hundred forty-one".

Divisors: 1 11 121 149 1639 6329 18029 69619 765809 943021 10373231 114105541