Search a number
-
+
102110510145269 is a prime number
BaseRepresentation
bin10111001101111001110100…
…101011110101111011110101
3111101112200002000111102101002
4113031321310223311323311
5101340434311044122034
61001100530515413045
730336145426320623
oct2715716453657365
9441480060442332
10102110510145269
112a598907a6382a
12b55184b2b4185
1344c8c977a2002
141b3026451c513
15bc11de563e7e
hex5cde74af5ef5

102110510145269 has 2 divisors, whose sum is σ = 102110510145270. Its totient is φ = 102110510145268.

The previous prime is 102110510145233. The next prime is 102110510145341. The reversal of 102110510145269 is 962541015011201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93070493763025 + 9040016382244 = 9647305^2 + 3006662^2 .

It is a cyclic number.

It is not a de Polignac number, because 102110510145269 - 28 = 102110510145013 is a prime.

It is a super-3 number, since 3×1021105101452693 (a number of 43 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 (102110510145869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51055255072634 + 51055255072635.

It is an arithmetic number, because the mean of its divisors is an integer number (51055255072635).

Almost surely, 2102110510145269 is an apocalyptic number.

It is an amenable number.

102110510145269 is a deficient number, since it is larger than the sum of its proper divisors (1).

102110510145269 is an equidigital number, since it uses as much as digits as its factorization.

102110510145269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 38.

The spelling of 102110510145269 in words is "one hundred two trillion, one hundred ten billion, five hundred ten million, one hundred forty-five thousand, two hundred sixty-nine".