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102540061 = 1337213181
BaseRepresentation
bin1100001110010…
…10001100011101
321010221120112001
412013022030131
5202222240221
614101442301
72353401421
oct607121435
9233846461
10102540061
1152976958
122a410391
13183229c0
14d892b81
159007391
hex61ca31d

102540061 has 8 divisors (see below), whose sum is σ = 113412824. Its totient is φ = 92093760.

The previous prime is 102540047. The next prime is 102540077. The reversal of 102540061 is 160045201.

It can be written as a sum of positive squares in 4 ways, for example, as 43480836 + 59059225 = 6594^2 + 7685^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102540061 - 27 = 102539933 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 (102540461) 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 7 ways as a sum of consecutive naturals, for example, 106110 + ... + 107071.

It is an arithmetic number, because the mean of its divisors is an integer number (14176603).

Almost surely, 2102540061 is an apocalyptic number.

It is an amenable number.

102540061 is a deficient number, since it is larger than the sum of its proper divisors (10872763).

102540061 is a wasteful number, since it uses less digits than its factorization.

102540061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213231.

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

The square root of 102540061 is about 10126.2066441486. The cubic root of 102540061 is about 468.0560434626.

Adding to 102540061 its reverse (160045201), we get a palindrome (262585262).

The spelling of 102540061 in words is "one hundred two million, five hundred forty thousand, sixty-one".

Divisors: 1 13 37 481 213181 2771353 7887697 102540061