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10652142101 is a prime number
BaseRepresentation
bin10011110101110101…
…01100101000010101
31000111100212212220112
421322322230220111
5133303422021401
64521000212405
7524653466606
oct117272545025
930440785815
1010652142101
114576947027
12209346a105
131009b41483
147309dddad
1542527a3bb
hex27aeaca15

10652142101 has 2 divisors, whose sum is σ = 10652142102. Its totient is φ = 10652142100.

The previous prime is 10652142073. The next prime is 10652142113. The reversal of 10652142101 is 10124125601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9287947876 + 1364194225 = 96374^2 + 36935^2 .

It is a cyclic number.

It is not a de Polignac number, because 10652142101 - 210 = 10652141077 is a prime.

It is a super-3 number, since 3×106521421013 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10652142131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5326071050 + 5326071051.

It is an arithmetic number, because the mean of its divisors is an integer number (5326071051).

Almost surely, 210652142101 is an apocalyptic number.

It is an amenable number.

10652142101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10652142101 is an equidigital number, since it uses as much as digits as its factorization.

10652142101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 10652142101 its reverse (10124125601), we get a palindrome (20776267702).

The spelling of 10652142101 in words is "ten billion, six hundred fifty-two million, one hundred forty-two thousand, one hundred one".