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2153442105 = 34517312773
BaseRepresentation
bin1000000001011010…
…1110101100111001
312120002002012020000
42000112232230321
513402240121410
6553403423213
7104235645603
oct20026565471
95502065200
102153442105
11a0561aa21
12501224b09
132841acbc9
14165ddc173
15c90c1dc0
hex805aeb39

2153442105 has 40 divisors (see below), whose sum is σ = 4087330632. Its totient is φ = 1080940032.

The previous prime is 2153442103. The next prime is 2153442113. The reversal of 2153442105 is 5012443512.

2153442105 is a `hidden beast` number, since 21 + 534 + 4 + 2 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45805824 + 2107636281 = 6768^2 + 45909^2 .

It is not a de Polignac number, because 2153442105 - 21 = 2153442103 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2153442103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 149502 + ... + 163271.

Almost surely, 22153442105 is an apocalyptic number.

It is an amenable number.

2153442105 is a deficient number, since it is larger than the sum of its proper divisors (1933888527).

2153442105 is a wasteful number, since it uses less digits than its factorization.

2153442105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312807 (or 312798 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2153442105 is about 46405.1948061852. The cubic root of 2153442105 is about 1291.3512881820.

Adding to 2153442105 its reverse (5012443512), we get a palindrome (7165885617).

The spelling of 2153442105 in words is "two billion, one hundred fifty-three million, four hundred forty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 81 85 135 153 255 405 459 765 1377 2295 6885 312773 938319 1563865 2814957 4691595 5317141 8444871 14074785 15951423 25334613 26585705 42224355 47854269 79757115 126673065 143562807 239271345 430688421 717814035 2153442105