Search a number
-
+
55681101 = 347214029
BaseRepresentation
bin1101010001101…
…0000001001101
310212202220010000
43110122001031
5103223243401
65305234513
71244165400
oct324320115
9125686100
1055681101
1129481043
1216792a39
13b6c71c8
147575d37
154d4d186
hex351a04d

55681101 has 30 divisors (see below), whose sum is σ = 96764910. Its totient is φ = 31815504.

The previous prime is 55681063. The next prime is 55681127. The reversal of 55681101 is 10118655.

55681101 is a `hidden beast` number, since 556 + 8 + 1 + 101 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32148900 + 23532201 = 5670^2 + 4851^2 .

It is not a de Polignac number, because 55681101 - 29 = 55680589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55681141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3046 + ... + 10983.

It is an arithmetic number, because the mean of its divisors is an integer number (3225497).

Almost surely, 255681101 is an apocalyptic number.

It is an amenable number.

55681101 is a deficient number, since it is larger than the sum of its proper divisors (41083809).

55681101 is a wasteful number, since it uses less digits than its factorization.

55681101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14055 (or 14039 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 55681101 is about 7461.9770168502. The cubic root of 55681101 is about 381.8586252614.

Adding to 55681101 its reverse (10118655), we get a palindrome (65799756).

The spelling of 55681101 in words is "fifty-five million, six hundred eighty-one thousand, one hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 14029 42087 98203 126261 294609 378783 687421 883827 1136349 2062263 2651481 6186789 7954443 18560367 55681101