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53414101 = 1361193349
BaseRepresentation
bin1100101111000…
…0100011010101
310201111201101001
43023300203111
5102133222401
65144503301
71216004146
oct313604325
9121451331
1053414101
1128172894
1215a7ab31
13b0b23a0
147145acd
154a51601
hex32f08d5

53414101 has 16 divisors (see below), whose sum is σ = 58937200. Its totient is φ = 48107520.

The previous prime is 53414099. The next prime is 53414131. The reversal of 53414101 is 10141435.

53414101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12773476 + 40640625 = 3574^2 + 6375^2 .

It is a cyclic number.

It is not a de Polignac number, because 53414101 - 21 = 53414099 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 (53414131) 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, 152875 + ... + 153223.

It is an arithmetic number, because the mean of its divisors is an integer number (3683575).

Almost surely, 253414101 is an apocalyptic number.

It is an amenable number.

53414101 is a deficient number, since it is larger than the sum of its proper divisors (5523099).

53414101 is a wasteful number, since it uses less digits than its factorization.

53414101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 53414101 is about 7308.4951255371. The cubic root of 53414101 is about 376.6043289255.

Adding to 53414101 its reverse (10141435), we get a palindrome (63555536).

The spelling of 53414101 in words is "fifty-three million, four hundred fourteen thousand, one hundred one".

Divisors: 1 13 61 193 349 793 2509 4537 11773 21289 67357 153049 276757 875641 4108777 53414101