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21152341125 = 325318802081
BaseRepresentation
bin10011101100110001…
…110001110010000101
32000121010212021002200
4103230301301302011
5321304444404000
613414532025113
71346113635006
oct235461616205
960533767080
1021152341125
118a74a43a63
124123a62199
131cc13534a6
14104936b1ad
1583bee0500
hex4ecc71c85

21152341125 has 24 divisors (see below), whose sum is σ = 38130622296. Its totient is φ = 11281248000.

The previous prime is 21152341123. The next prime is 21152341127. The reversal of 21152341125 is 52114325112.

It is a happy number.

21152341125 is a `hidden beast` number, since 2 + 11 + 523 + 4 + 1 + 125 = 666.

It is an interprime number because it is at equal distance from previous prime (21152341123) and next prime (21152341127).

It can be written as a sum of positive squares in 4 ways, for example, as 1292769 + 21151048356 = 1137^2 + 145434^2 .

It is not a de Polignac number, because 21152341125 - 21 = 21152341123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21152341123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9399916 + ... + 9402165.

It is an arithmetic number, because the mean of its divisors is an integer number (1588775929).

Almost surely, 221152341125 is an apocalyptic number.

21152341125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

21152341125 is a deficient number, since it is larger than the sum of its proper divisors (16978281171).

21152341125 is a wasteful number, since it uses less digits than its factorization.

21152341125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18802102 (or 18802089 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

Adding to 21152341125 its reverse (52114325112), we get a palindrome (73266666237).

The spelling of 21152341125 in words is "twenty-one billion, one hundred fifty-two million, three hundred forty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 18802081 56406243 94010405 169218729 282031215 470052025 846093645 1410156075 2350260125 4230468225 7050780375 21152341125