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54188101 = 1141532267
BaseRepresentation
bin1100111010110…
…1100001000101
310202222001002201
43032231201011
5102333004401
65213234501
71225406542
oct316554105
9122861081
1054188101
1128651360
1216192a31
13b2c3786
1472a7bc9
154b55b01
hex33ad845

54188101 has 16 divisors (see below), whose sum is σ = 61725888. Its totient is φ = 47132800.

The previous prime is 54188087. The next prime is 54188107. The reversal of 54188101 is 10188145.

54188101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54188101 - 221 = 52090949 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 54188101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54188107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22770 + ... + 25036.

It is an arithmetic number, because the mean of its divisors is an integer number (3857868).

Almost surely, 254188101 is an apocalyptic number.

It is an amenable number.

54188101 is a deficient number, since it is larger than the sum of its proper divisors (7537787).

54188101 is a wasteful number, since it uses less digits than its factorization.

54188101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372.

The product of its (nonzero) digits is 1280, while the sum is 28.

The square root of 54188101 is about 7361.2567541147. The cubic root of 54188101 is about 378.4146811994.

It can be divided in two parts, 54188 and 101, that added together give a square (54289 = 2332).

The spelling of 54188101 in words is "fifty-four million, one hundred eighty-eight thousand, one hundred one".

Divisors: 1 11 41 53 451 583 2173 2267 23903 24937 92947 120151 1022417 1321661 4926191 54188101