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102122541 = 3211346949
BaseRepresentation
bin1100001011001…
…00010000101101
321010011100210100
412011210100231
5202120410131
614044501313
72350012233
oct605442055
9233140710
10102122541
11527111a4
122a24a839
1318207951
14d7c4953
158e737e6
hex616442d

102122541 has 6 divisors (see below), whose sum is σ = 147510350. Its totient is φ = 68081688.

The previous prime is 102122483. The next prime is 102122561. The reversal of 102122541 is 145221201.

102122541 is a `hidden beast` number, since 1 + 0 + 2 + 122 + 541 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82355625 + 19766916 = 9075^2 + 4446^2 .

It is a de Polignac number, because none of the positive numbers 2k-102122541 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 (102122561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5673466 + ... + 5673483.

Almost surely, 2102122541 is an apocalyptic number.

It is an amenable number.

102122541 is a deficient number, since it is larger than the sum of its proper divisors (45387809).

102122541 is a wasteful number, since it uses less digits than its factorization.

102122541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11346955 (or 11346952 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102122541 is about 10105.5698008573. The cubic root of 102122541 is about 467.4199063986.

Adding to 102122541 its reverse (145221201), we get a palindrome (247343742).

The spelling of 102122541 in words is "one hundred two million, one hundred twenty-two thousand, five hundred forty-one".

Divisors: 1 3 9 11346949 34040847 102122541