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105156212653 is a prime number
BaseRepresentation
bin110000111101111001…
…1000111011110101101
3101001102111222002021201
41201323303013132231
53210324442301103
6120150314325501
710411604026312
oct1417363073655
9331374862251
10105156212653
1140661a38a78
1218468729891
139bbab33c4b
145137b86d09
152b06c4b51d
hex187bcc77ad

105156212653 has 2 divisors, whose sum is σ = 105156212654. Its totient is φ = 105156212652.

The previous prime is 105156212647. The next prime is 105156212663. The reversal of 105156212653 is 356212651501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97582513924 + 7573698729 = 312382^2 + 87027^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105156212653 is a prime.

It is a super-2 number, since 2×1051562126532 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105156212663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52578106326 + 52578106327.

It is an arithmetic number, because the mean of its divisors is an integer number (52578106327).

Almost surely, 2105156212653 is an apocalyptic number.

It is an amenable number.

105156212653 is a deficient number, since it is larger than the sum of its proper divisors (1).

105156212653 is an equidigital number, since it uses as much as digits as its factorization.

105156212653 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54000, while the sum is 37.

The spelling of 105156212653 in words is "one hundred five billion, one hundred fifty-six million, two hundred twelve thousand, six hundred fifty-three".